{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import sklearn\n",
    "import numpy as np\n",
    "import os\n",
    "\n",
    "np.random.seed(42)\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "mpl.rc('axes', labelsize=14)\n",
    "mpl.rc('xtick', labelsize=12)\n",
    "mpl.rc('ytick', labelsize=12)\n",
    "\n",
    "# Where to save the figures\n",
    "PROJECT_ROOT_DIR = \".\"\n",
    "CHAPTER_ID = \"svm\"\n",
    "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n",
    "os.makedirs(IMAGES_PATH, exist_ok=True)\n",
    "\n",
    "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n",
    "    path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n",
    "    print(\"Saving figure\", fig_id)\n",
    "    if tight_layout:\n",
    "        plt.tight_layout()\n",
    "    plt.savefig(path, format=fig_extension, dpi=resolution)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Large margin classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=inf, kernel='linear')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris[\"data\"][:, (2, 3)]  # petal length, petal width\n",
    "y = iris[\"target\"]\n",
    "\n",
    "setosa_or_versicolor = (y == 0) | (y == 1)\n",
    "X = X[setosa_or_versicolor]\n",
    "y = y[setosa_or_versicolor]\n",
    "\n",
    "# SVM Classifier model\n",
    "svm_clf = SVC(kernel=\"linear\", C=float(\"inf\"))\n",
    "svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure large_margin_classification_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bad models\n",
    "x0 = np.linspace(0, 5.5, 200)\n",
    "pred_1 = 5*x0 - 20\n",
    "pred_2 = x0 - 1.8\n",
    "pred_3 = 0.1 * x0 + 0.5\n",
    "\n",
    "def plot_svc_decision_boundary(svm_clf, xmin, xmax):\n",
    "    w = svm_clf.coef_[0]\n",
    "    b = svm_clf.intercept_[0]\n",
    "\n",
    "    # At the decision boundary, w0*x0 + w1*x1 + b = 0\n",
    "    # => x1 = -w0/w1 * x0 - b/w1\n",
    "    x0 = np.linspace(xmin, xmax, 200)\n",
    "    decision_boundary = -w[0]/w[1] * x0 - b/w[1]\n",
    "\n",
    "    margin = 1/w[1]\n",
    "    gutter_up = decision_boundary + margin\n",
    "    gutter_down = decision_boundary - margin\n",
    "\n",
    "    svs = svm_clf.support_vectors_\n",
    "    plt.scatter(svs[:, 0], svs[:, 1], s=180, facecolors='#FFAAAA')\n",
    "    plt.plot(x0, decision_boundary, \"k-\", linewidth=2)\n",
    "    plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n",
    "    plt.plot(x0, gutter_down, \"k--\", linewidth=2)\n",
    "\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(10,2.7), sharey=True)\n",
    "\n",
    "plt.sca(axes[0])\n",
    "plt.plot(x0, pred_1, \"g--\", linewidth=2)\n",
    "plt.plot(x0, pred_2, \"m-\", linewidth=2)\n",
    "plt.plot(x0, pred_3, \"r-\", linewidth=2)\n",
    "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris versicolor\")\n",
    "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris setosa\")\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.ylabel(\"Petal width\", fontsize=14)\n",
    "plt.legend(loc=\"upper left\", fontsize=14)\n",
    "plt.axis([0, 5.5, 0, 2])\n",
    "\n",
    "plt.sca(axes[1])\n",
    "plot_svc_decision_boundary(svm_clf, 0, 5.5)\n",
    "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\")\n",
    "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\")\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.axis([0, 5.5, 0, 2])\n",
    "\n",
    "save_fig(\"large_margin_classification_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sensitivity to feature scales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure sensitivity_to_feature_scales_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xs = np.array([[1, 50], [5, 20], [3, 80], [5, 60]]).astype(np.float64)\n",
    "ys = np.array([0, 0, 1, 1])\n",
    "svm_clf = SVC(kernel=\"linear\", C=100)\n",
    "svm_clf.fit(Xs, ys)\n",
    "\n",
    "plt.figure(figsize=(9,2.7))\n",
    "plt.subplot(121)\n",
    "plt.plot(Xs[:, 0][ys==1], Xs[:, 1][ys==1], \"bo\")\n",
    "plt.plot(Xs[:, 0][ys==0], Xs[:, 1][ys==0], \"ms\")\n",
    "plot_svc_decision_boundary(svm_clf, 0, 6)\n",
    "plt.xlabel(\"$x_0$\", fontsize=20)\n",
    "plt.ylabel(\"$x_1$    \", fontsize=20, rotation=0)\n",
    "plt.title(\"Unscaled\", fontsize=16)\n",
    "plt.axis([0, 6, 0, 90])\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(Xs)\n",
    "svm_clf.fit(X_scaled, ys)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(X_scaled[:, 0][ys==1], X_scaled[:, 1][ys==1], \"bo\")\n",
    "plt.plot(X_scaled[:, 0][ys==0], X_scaled[:, 1][ys==0], \"ms\")\n",
    "plot_svc_decision_boundary(svm_clf, -2, 2)\n",
    "plt.xlabel(\"$x'_0$\", fontsize=20)\n",
    "plt.ylabel(\"$x'_1$  \", fontsize=20, rotation=0)\n",
    "plt.title(\"Scaled\", fontsize=16)\n",
    "plt.axis([-2, 2, -2, 2])\n",
    "\n",
    "save_fig(\"sensitivity_to_feature_scales_plot\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sensitivity to outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure sensitivity_to_outliers_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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u5+7du6xduxaz2cyqVass6w6KFi1K7969MZlMNG/e3K41ADExMbz11lssWLAgydzkRx99lMDAQHr06EHhwoVtrk8IYV1ujZ3SQRZCiEyQW4O8LXIqdh48eBCz2czChQstGSqUUowaNYopU6bYXd+1a9dYsmQJZrOZnTt3Ws5XqlSJwYMHM3jw4DRzqScXGxvL77//jtlsZuXKlZYFwgsWLGDAgAF2t08IkVJujZ0yB1kIITKBvSu3BdSqVYv//e9/nD9/3rL4ztnZmYceeshS5sSJE2zevNmmucAlS5Zk2LBh7Nixw7L4zsfHh5MnTzJ+/HgqVqzIo48+SlBQEDdv3ky3PkdHR9q3b8+iRYsIDw9n9uzZtG3blu7du1vKjB8/nnHjxvH3339n7EMQooDLrbFTRpCFEPmOl1fqK6A9PVNfSW1v+axsS0blxRHk1Fy7dg03Nzc8PDwAePHFF5kxYwYBAQGWUeCKFSvaXF9sbCzr16/HbDazYsUKyyiwh4cHTz75JIGBgbRq1SpJSkZbRUVF4eXlxb///gtA8+bNMZlM9O7dm2LFitldnxA5qSDGTZApFkLkGbt37+aBBx6gePHiOd2UPMver+yy8iu+7Pr6ML90kJObPHkyn3/+eZIMFY888ggmk4mePXtSpEgRm+uKiIhg2bJlmM1mtm7dajnv5+fHoEGDMJlMVK5c2eb64uLi2LRpE2azme+//57IyEgA3Nzc6NatG+PGjaNatWo21ydETiqIcdN4L+kgC5Hr/fbbb3Tu3Jly5cqxdetWfHx8crpJeVJBDPT5tYMMxijwhg0bLKPACXnLR44cyWeffZahOk+ePMm8efMwm82cOXPGcr5Zs2aWUWB7fkm9efMmK1asICgoiODgYAAOHDhArVq1LK/Lwj6RmxXEuGm8l3SQhcjVdu7cSevWrYmMjMTR0ZHSpUuzZcsWu0a0hKEgBvr83EFO7N9//7WMAk+dOtWyIc/333/Pvn37MJlMVKlSxeb64uLi2Lx5M2azmWXLlllGgV1dXenWrRsmk4m2bdvi5ORkc51nzpxhzZo1Sbbgbty4MXFxcQQGBtK3b19KlSplc31CZIeCGDeN95IOshC51smTJ6lXr55lLiMYq/mLFi1KcHAwdevWzcHW5T0FMdAXlA6yNS1btmTLli0ANGnShMDAQPr06WPXKHBkZGSSUeCEn4/e3t4MHDgQk8lE9erV7W7blStXqFy5MhEREQA4OzvTuXNnAgMDefzxx3F2dra7TiEyW0GMm8Z73UcWC6WUm1JqjFLqN6XUfqXUwcRH5jZViIInIiKC2NjYJOe01kRERNCiRYtUdwAUQtzz3nvv8dRTT1G4cGH++OMPnn/+eby8vOjTpw8hISE21VGoUCEGDRrE+vXrCQ0N5b333qNy5cpcvHiRjz/+mBo1atCgQQO++OILrl69anPbypQpw8WLF1m8eDHt27cnNjaWFStW0KVLF3x9fdm1a1dGb1sIkUVsXbY7ExgLhAI/AMuTHTZRSr2olNqtlIpWSgWlUS5QKRWrlLqZ6Ghl6/sIkdfUq1ePjRs3UqxYsRQbGkRGRtKxY0dWrFiRQ63LPl5exshB8sPLK/PeI7X6rUktsYGjY+p1ODqmXkduTWGU37Rs2ZJvvvmG8PBw5s2bx2OPPcadO3dYunRpki2u7969a1N9fn5+vPXWWxw7doxt27bx7LPPUqxYMfbs2cOIESPw9vamR48e/PjjjzbV6e7uTt++ffn11185d+4ckydPplq1akRGRiZJa7d+/XpLTmghbJXVsfN+4ybYFztzRdxMbXu95AdwDWhjS9l06ukBdAO+BILSKBcIbLW3ftlqWuR1f/31ly5Tpox2dHS0bJ+bcLi7u+tZs2YlKX/58mXdvHlzffz48RxqcebKrC1H06rH3iOr2pjZyMVbTeeUM2fO6Pfff19fv37dcm7kyJG6Xr16+rPPPtNXrlyxq75bt27pJUuW6A4dOmgHBwfL/83SpUvrl156Se/du9euLbPj4uKSbGEdFRWlixcvrh0dHXWnTp30smXL9O3bt+1qoyiYMiMuZWXczKw2ZgVrsdPWju15oKotZW2s7z3pIAuRuvPnz+sKFSpoZ2fnFJ1kDw8PPXHiRB0XF6f//fdf/dBDD2lHR0f90ksv5XSzM4V0kDNOOsjpi4uL01WqVLH8f3JyctLdunXTK1eu1NHR0XbVdeHCBT1lyhRdvXr1JP9Ha9asqT/55BN98eJFu9t3/vx53aVLF+3k5GSpr0SJEnrYsGF6x44ddnW+RcEiHeSMsxY7bVqkp5QaCVQHXtBax2VoqDppfe8BvlrrQCuvBwIzgCiM0ev5wIda65hUyj4LPAvg5+dXP3G6HiHyqmvXrtGqVSuOHz9OdHR0ktc8PDwIDAxk79697Nu3j+joaIoVK8aVK1fy/GKfzFqYkVY99kr+vjm9Lao19i7SK6ix8/bt26xatQqz2cyvv/5KXJzxI6106dLMmDGD3r1721Wf1pq9e/diNptZtGiRZW6yo6Mjjz/+OCaTic6dO+Pm5mZznZcvX2bRokWYzWb2799vOX/w4EFq1qxpV/tEwZAZcSkr42Z69efG2Gm1g6yUWpXsVEsgAjgKJJlwpbXuYmdj0usgB2D89nwGo2P+HTBfa/1hWvXmh5XYQiSIjIykQ4cO7N6925L3NYGHhwdaa8v5IkWKsHDhQjp37pwTTc000kHOuIKexSIjLl68yMKFCzGbzRw+fJiQkBCaNGkCwJEjRyhZsiTe3t4213fnzh1Wr16N2Wxm9erVxMQYYzrFixenb9++mEwmGjdunGKdQVoOHjyI2Wzm0KFDrF271nLta6+9Rv369enWrZtl10FRcEkHOeMy0kH+1tbKtdZP2dmYNDvIqZTvC4zWWtdPq1xBDfIi/7pz5w69e/dm3bp13Lp1K82ybdq0Yd26ddnUsqwhHeSMkw5yxmmtOXjwILVq1bJ0QFu3bs2mTZto3749gYGBdOnSxa5R4CtXrrB48WKCgoLYt2+f5XzVqlUxmUwMGjQIX1/fDLX3xIkTllzPRYoUoXfv3gQGBtK8eXO7Ot8i/5AOcsZZjZ2pzbvI6oN05iCnUr4PsDe9cgVlHp0oWGJjY/XQoUO1h4dHijnJiQ9XV1cdHh6e0829L56eqc9P8/S0rx5758s5ONj+vtbKOjhkzmeQUcgc5Exz9+5d3aNHjyRzgYsXL66fe+45HRISYvdc4IMHD+rXXntNe3p6WupTSuk2bdroBQsW6MjISLvqu3Hjhp45c6Zu1KhRkhhQqVIl/e677yZZlCgKhsyInVkZN7XOe7HT1g7qBqB4KueLAhtsqSO+vBPgBnyIMa/YDXBKpVwHwDP+8YPAYWB8evVLkBf5VVxcnG7Tpk2qC/cSDnd3dz158uQca2NmdW7tYW/AtdZGe46svJ/7IR3kzHf58mX92Wef6Xr16iX5vxYUFJSh+u7evat//vln3atXL+3i4mKpr0iRIvrpp5/WmzZtsrvzffToUT127Fhdrlw5SxyIiIiwvB4TE5Ohtorsk9tjZ2bEzbwYO21dpBcHeGmtLyc7Xxa4oLW2aWWQUmoCMD7Z6XeBbzDmNlfTWp9VSn0CDAIKA5eABcAkrXWaySYL+teEIv+aP38+zz33XIq5yMn5+fkRGhqaI1+z5sTXZ5m585M9sup+7odMschahw8ftmxHvXfvXkqWLAnA119/jZubGz169KBQoUI213f9+nW+++47zGYzf/zxh+V8QEAAgwcPZvDgwVSsWNHm+mJjY9mwYQMnTpxg2LBhAERHR1OlShUeeeQRTCYTjz76KA7WktSKHJPbY2dWT73IaRnaalopVS/+4W6gHUZGiQSOQHvgGa21f+Y1NeMkyIv86JdffqFnz57pdo7B2Als/fr1NG7cOBtallRuD/LplbdHXgrytpDYaTutteUX0JiYGHx9fbl06RKFCxemV69emEwmWrRoYVdH9NixY5jNZubPn8/58+ct51u2bInJZKJXr14UKVLE7rYGBwfTunVry/Py5cszaNAgTCaTZQ6zyHm5PXZKBzn1i+IwvgICSO0jigJGaK2/yZRW3icJ8iI/qlWrFidOnODu3bsptqNOzsHBgYEDB2I2m7Opdffk9iCfXnl75KUgbwuJnRkTHR1NUFAQZrM5yXbW/v7+DB48mGeffZZy5crZXF9sbCzBwcEEBQWxYsUKyy/FHh4e9OjRwzIK7Ght28ZUnDx5knnz5jFv3jxCQ0Mt55s2bcrPP/9sGQkXOSe3x07pIKd+UQWMjvEpoBFwJdHLd4DLWuu0f2JnIwnyIj+KiYkhJCSEVatWsWLFCi5cuICTkxORkZGplnd3d+eff/7J9tRPuT3Ip1feHnkpyNtCYuf9O3bsmKUjmjAKvGXLFh5++GEg6cizLf7991++//57zGYzmzdvtpz39fVl8ODBdo8Cx8XFsWXLFss0kfLly3PkyBFLm0JCQmjYsCFOTk421ykyR26PndJBzgckyIuC4OLFi/z6668sXbqUTZs24eTkxK1btyyjy4ULF2bmzJkMGjQoW9uV24N8euXtkRvDpnSQc4eEUeDVq1czdepUSwe0a9euFClSBJPJROvWre0aBT516pSl83369GnL+SZNmmAymejTpw8lSpSwub7IyEjOnDlDtWrVADh9+jQBAQF4eXkxcOBATCYTNWrUsLk+cX9ye+yUDnLKCwbbWrnWet59tC3TSJAXBU1qo8txcXHUqlWL1atf4dSpt4iOPourqx8BAe/j6Tkg1Xq8vODSpZTnPT0hPNy2tlirI7+x5zPJTtJBzr2uXLmCl5eXZdc+X19fy1zgqlWr2lxPXFwcW7duxWw2s3TpUm7evAmAq6srXbt2xWQy0a5dO7tHgbds2cKQIUM4ceKE5Vz9+vUxmUz069eP0qVL21VfQZEZcTOtevKbvBY70+og/5fslAvgDCRsNe2AsaNetNa6aCa2NcMkyIuCLiwsjDVr1nD8+BqeeGINcXH3NhdxcPCgatXZqXaSs3IEI6/sW5AbRzbsIR3k3O306dPMnz8fs9nMqVOnLOcbN27M119/bfcW0pGRkaxcuRKz2cz69esTUqTi5eXFgAEDMJlMdtWpteaPP/7AbDazZMkSIiIiAGMjkkuXLuHu7m5X+woCiZt5P27CfU6xUEo9AUwAXgZ2xJ9uDEzFSL/2c6a19D5IkBfCEBLiT3T0mRTnXV0r0LRpaIrzEujzfqCXDnLeoLVm69atBAUFsWzZMm7fvk1YWJhllPbYsWNUqlTJrlHgc+fOsWDBAoKCgjh+/LjlfL169SyjwGXKlLG5vtu3b/Pjjz9iNpspWbIkCxYsAODu3bu8/fbb9OnTh7p16xb4Xfskbub9uAn330H+E3haax2S7HxTjB3xbP+OKAtJkBfCsHGjA/cS0CSmaNUqLuVZCfR5PtBLBznvuXXrFjt37qRVq1aAMX/Zz8+P2NhYyyhwrVq1bK5Pa82OHTsso8A3btwAwMnJiSeeeILAwEA6duyIi4uLzXXGxcVZUtb99NNPdOnSBYCaNWtiMpkYMGAAXl5eNteXn0jczPtxE6zHTlsTNfoDqS2ZvwX43Ue7REESFGT8r4//YZCEv7/x2saN9tc7YYJxbWDg/bQuX3F1Tf2/pbXzQojs5+HhYekcA5w/f56iRYty6dIlpk6dSu3atalXrx6fffYZV65csV5RPKUUTZo04csvv+TixYssXbqUjh07orXmxx9/pHv37vj4+DBy5Ej27NmDLQNkifM5V6lShREjRlCqVCkOHTrEqFGj8PX15YknnmDp0qXppqEUIi+xtYO8A5iulLIkdIx/PA34w+pVeV1goPUOnSgYWrXKk53vgID3cXBImubNwcGDgID3c6hFQoj0VKhQgaNHj/LHH3/wwgsvULx4cfbt28fLL7+Mj48Phw4dsrkuNzc3evXqxerVqzl//jyffPIJNWrU4OrVq3z++ec0aNCAWrVq8cknn3Dx4kWb6qxatSrTp08nLCyMFStW0LVrV5RS/PLLL7z99tuyS5/IV2z91zwEKAWEKqVClVKhQChQFhiaNU0T+U6xYlC1KvjJKGZW8/QcQNWqs3F1NVKZu7pWsLpAzyhvrZ6sa2NWsvZz2tr5vHqfIv9RStG4cWNmzpxpGQV+4okn8Pf3p3r16pZyM2fOZPfu3TaNAnt5efHaa69x8OBB9uzZw8iRIyldujSHDx9m9OjR+Pr60rFjR7777jtu376dbn0uLi50796dH374gbCwMD777DPeeusty5zks2fPUq1aNT744APOnTuX8Q8jl8tvcdOaAhs3tdY2HRgbhrQDRgIvAW2Jn8OcW4769evrTGUyaQ1aP/JI5tYrUqpQwfisg4Ptv3b8eONakylz26S18XefVXXnM56exkeV/HBwSP28p6ftdaRWNiPl7W27vfXkJGC3zi2xU2S627dvWx5fuHBBOzg4aEBXq1ZNT548WV+4cMGu+qKjo/UPP/ygu3fvrp2dnTXGogVdrFgx/dxzz+nt27fruLi4DLV1ypQplvqUUrpNmzZ6/vz5+ubNmxmqL7+zFn+yMhZmRszLD3FTa+ux0+bvQ+Lr+U1rPV1r/ZnWel18xUIIYTWPZ1zKNYFWy1urI7POW5NZ9QiRVVxdXZM8TxgFPnr0KGPGjKF8+fJ06NCBJUuW2DwK3LVrV1asWEFYWBjTp0+nfv36RERE8NVXX9GsWTMefPBB3n//fc6ePWtXW1955RVWr15Nr169cHZ25vfff2fQoEF4eXnxwgsv2DTqXZDYE2eyOkZmZVvyGqsdZKXUq0opt0SPrR7Z19xcImFealAQ/PsvvP46VKoE7u4QEADvvAOJA9T69dC+PZQuDYUKQcuWsGVL6nUnXnAWFwfTpkHt2sZ1pUpBly6wc2fa7fv3X6Oe2rWhcGHjqFULxo+H+NyWqdq0CXr2BF9fcHExpkRUrgzdusFXX6Xs6fz3H0yaBPXrQ5EixjU+PtCgAYweDYcPJy2f1iK9xM6ehWeegfLlwc0NKlaEUaPSbnt6tm6Fvn2Ne3N1NT7LNm1g8eL8sQxXCFFg+Pj4MG3aNMLCwiyL7xwdHfn1118ZOHCgJYexrUqXLs2IESPYvXu3ZfGdl5cXx48f5+2338bf3582bdowf/58q1vcJ+bk5ETHjh1ZunQp4eHhfPnllzRp0oSbN29y5coVy1SMmJiYJDsD2iQmBk6fhm3bIDjY+PP0aeO8EJkptWHl+N/uTgOlEj22dpyyVkd2H9k2xSLha/epU7V+8EHjcaFCWjs73/uOoXNno+yMGVorZXzPXLTovdddXLTeujXleyZMFxg8WOsePYzHTk5aFyt271pHR62XLEm9zSdO3JuuAFp7eBhHwnM/P62PH0953VdfJf2OxMPDuKfE56Ki7pW/cUPratXuvebgoHWJEkm/Tx8zJul7fPtt6p+n1vfa/PXXWpcpYzwuXFhrN7d79T3wgNZhYdY/M2vTIF5/Pel9FCmStJ19+2odG5v6tTLFwma2fkWY+LCnDnvfM7PanlcgUywKtCtXrujPP/9cjx492nIuNjZWP/roo3rSpEn6zJkzdtV39+5d/csvv+g+ffpoV1dXy5SJwoUL66eeekpv3LhRx1qLm1b89ddf+siRI5bnq1ev1oBu2bKlnjt3ro6IiLB+cVyc1gcPar18uXEsXXrvSDh38KBRLo+537iZXh2ZUT6r6sgNrMVOqyPIWuuKWuuriR5bOwKyrPee2737rvFvYcsWuHnTOL7+Gpyc4KefjNHVl1+GsWPh6lVjBDQ0FJo2hTt34JVXrNf944/GMXWqMSJ84wb8/Te0bQuxsfDUU3DyZNJr7tyBJ5+EM2eM0dfffrvXrt9/NxbHnT0L3btDdPS9627dgtdeMx4//bRRJjLSuO7qVVizBvr1SzpT/7PP4OhRKFMGfv7ZqO/aNWPk/Phx+OgjY1TdXqNGGSPXW7YYI9SRkfDDD8bo+99/g8lkX32ffQZTphjtnDkTrl83Ps/ISFi6FLy9YckSmDzZ/rYKIUQuUbp0aV588UWmTJliObdp0yaCg4MZN24c/v7+PPbYY8ybN8/mUeCEKRvh4eHMmjWLpk2bcvPmTb799ltatWpFpUqVGD9+PCeT/yyyomrVqlSrVs3y/PTp07i7u7N582aGDBmCl5cXAwcOZN26dUlTxmltjBSfOGH8/EueTi7h3IkTRjmtbWqPEGlKrdec/AAcbSmX00e2jyA7ORkjtsk9/fS9X6Oeeirl66GhxqgyaJ38t/qE0VDQ+r33Ul4bFaV11arG60OGJH1t3rx77Tp0KOW1hw/fG+WeO/fe+R07tGUUPCYm5XWp6dDBuOajj2wrr7VtI8hubql/phs23PtctmxJ+pq1EeTr141RaCcn4x5TExJi/F2UKKF1dHTK11u1MuoODEzv7go8GUHOWcgIskjm7t27es2aNbpv375JRoELFSqkTSaTvn79ut11Hjt2TL/11lu6fPnylvoA3aJFCz1nzpy0R4FTERERoefOnatbtmyZpL6WLVveK5Qwcpx41NjakTCSnIfICHLOshY7bV2kF6GUWquUekMp1VQp5ZjpPfW8qFcveOCBlOfbtLn3+I03Ur5eocK965LP003g4WGMPifn5nZvtHf58qS/KX//vfFnt25Qo0bKa6tXN+YYgzF6mqBoUePPu3eNEWNbJFxjY/5Mm/Xunfpn+uij0KyZ8TjhPtOzfLkxCv7ww9CoUeplmjQx5o1fvw579qR83cMj6Z+ZyMvLmJKd/Mjtm1JZa7e9UksRZG/apMxKs1RQ0jWJgsXJyYnHH3+cxYsXEx4ebll8FxkZyfr16ylSpIilbHh4uE11VqlShffee4/Q0FDL4jsPDw+2bNnCM888g5eXFwMGDEg5CmxF0aJFefrpp9m0aRMnT55kwoQJVKxYkdatWxsFYmII27GDWWvWcP3mTbyGdkb17pXi8Bra2SifMJKcC+ckZ0bszOoYaU/My+9x09YOcndgF/AEsBG4kbjDnFWNy/Vq1kz9fNmyxp9ubql39uDev6Dr11N/vUEDY2Feah55xPjzxg1jcUKCvXuNPx991GqTSQg6CWXBWIhXubIxRaNpU2Nh4F9/pf01VceOxp/Tp8OgQcY0jP/+s17eVmkt4Eu478RtT8v27cafO3YYkcnakbBCO7V8ncWKGX8m/EKQifLqCuCMtC+1MYbUfh6Hh9teNiPlrcmseoTIrYoXL86zzz7Ltm3bOH78ON988w2OjsZY16VLlyhfvjwPP/wwc+bMsWmRn4ODg2XKRnh4ON9++y2PPPIIUVFRLFq0iHbt2lGhQgXeeOMN/vrrL5vaGBAQwPjx4/n7778ZM2aMcfLcOeZv2sQLc+bg/dxzXIoYDKwGknaAL0W4Ja0sF+ZfzozYmVmxMDNiXn6PmzZ1kLWR0u1trfXDQHGMDnMYMBHYmnXNy+W8vVM/Hx908PS0/uthQpm7d1N/vVy51M8nfy3x9qMJj9O61tfX+PPq1XsdYEdHWLTIuO7UKXj1VXjoIWPeb69esGpVys7y4MHw7LPG+QULjA5z8eJQt66RxSOjI8u23LcNW64C99oQFWVEJmtHwt/BrVsp68jCDrIQQuSEypUr07ZtW8vzffv24eLiwrZt2xg6dCheXl7079+f3377zaZR4CJFihAYGMjGjRs5deoU7777LgEBAVy4cIGPPvqIhx56iMaNG/Pll19y7dq1dOtzcHDAzS2+wxsWRk1fX9rUrMmdmBhgGdAJ8AVeA1LZXTA2FsLCbPkohLDK5jzISilPpVQfYCowA+gLbMPoJIvslNbILiRdgGerBg2Mr6UWLDA6vwEBxqK777+Hrl3hiSdSLoz46itjisg77xgjv66usH+/sTixcmVYt87+dqQlvftOLiEt3Suv2Da1K7XtpKWDLITI5x5//HHLKHCrVq24ffs2ixcvpn379gQEBBAVFWVzXRUrVuSdd97h77//tiy+K1KkCDt37mTYsGF4e3vTq1cvfv75Z2JsmQZx5w4d69Vj3bhxnJkxA/gAqApcwuiOjEv9OmuDTwkkXZxIh00dZKXUEeAU8DwQDjwHFNdat9Jav5uF7Su40vrtN/HobJkyKR+fOWP92vPnjT9LlUo5uu3uDgMGgNlsZMg4dcqYQ62UMYVi1qyU9VWvbmTzCA42pnz89JMx9SQy0sg4kV6QSs6W+058z2lJmMZy9Kh9bUjso4+MzvPw4RmvQwghcrmEUeDg4GBOnz7NxIkTqVSpEtWqVcPd3R2AuLg45s6dy1Ub1qoopWjRogVz5swhPDychQsX0q5dO+7evcv3339P586dKVeunGULbKtcXCwPy5cuDbwB/An8AbyA0R0xrD90iG5TprBy507uWKtPazh0yPhmdN8+42fOP/8Yf+7bZ5w/dMj+ARmR79g6glwMiAVuAZHAf2D935/IBLt2pf6VPxgbeoAxpaFixXvn69Uz/gwOtl7vhg1Jy6alYkX44APo0yfp+1rj4gKdOsGyZcbzixeNUWl7pPUeCa/Z0nYw5lMnXGfr4kMhhCjg/P39GTduHCdOnGDhwoWW8wkL8by9venZsyc//fQTd20YBPHw8KB///6sXbuWs2fP8uGHH/Lggw9y+fJlpk6dSu3atalbty6ffvoply9fTnqxj8+9KYkWCmgMzAQ6WM5+GxzMj7t30+OTT/Dp0YMRI0awZ88edEJnV2tJFydsZuscZF+gHrASqAP8AFxTSq1SSqWRzDcppdSLSqndSqlopVRQOmVfUUqFK6UilFLfKKVc0yqf79y6ZeTwTS462siNDEZGisSjwAkZKtasMX4TTu7IkXsZIHr3vnf+Tjq/68SPHiSZupHWNQnlk19ji+++M0auk9u82QhYYMyLtkWvXsZCx9u3jZ390mJtsWQWyqsrgK21z8FKNMnt9yOESJ1SipIlS1qeu7q60r59e2JjY1m+fDldunTB19eXV199lQMHDthUp6+vL2PHjuXo0aPs2LGDYcOGUaJECfbv388rr7xCuXLlLFtg37lzx8jpn4hnsdS30fYsdptPBg/mk0GDqOnnx9Xr1/niiy9o0KABNWvW5JtvvjGmBF6+nLJjnFxsrFHOWpapDJLYmbfYPAdZa/231noOYAJ6Y3SSOwCf2PF+YcB7wDdpFVJKtQfGAo8B/kAAULCmchQrBuPGGZ3khPlfp04Z84H//NPIkDF2bNJr+vQxtpQGI9Xb77/f+w14/XpjId3du8a0iAED7l33yy/GaOvXXyednnHrlnEuYQShfft7r7VpAyNHGh3XxPPTjhy5N5fX29t6pg9rXFygQ4d7GSji4oxpGwmd/7ZtoXlz2+oqVQo+/NB4/O23xi8FiQPe7dvGFtTDh1uvM2Fb8dTmJ9+nzFgB7OiYetqgFAMuGSifVkqi1NodG5v6ebD+nnkxzZ0QBVWTJk349ddfOXv2rGXx3eXLl5k2bRodO3a0aUFfAqUUjRo1YsaMGVy8eJFly5bRqVMntNasWrWKJ598Em9vb0a88gq779xBx/ciw7/+Cb10WYoj/Ouf8CpenNe6dePATz+xd+9eXnrpJUqXLs2RI0c4ffKkZeQ48vZtHHp3SjVdnGOf+J81idLF2RtnMyN2enoaa8glbuYcJ1sKKaUaAo/GH80BV2Af8D8gje/zk9Jar4ivrwHGElRrTMBcrfWR+PKTgIUYneaCoWtXI23ayy8bo5+FChlzfMH4H/Lttyl3qnNxMXL/tmljdHTbtr2XvzdhuoafH6xYYSyoS+yPP4wDjBFgNzfj/RJ6OB07GlkrEvz7L3z+uXE4OBgd+qgoo9MJxvvOn2/sKmiPTz6BN980OqyFCxuRI6ED/sADxvxoe4wYYexg+M47xtSPZcuMtrm6GucTFvL5+9tXby6R0PysOJ9ZaeislbfWltye5k6Igq5cuXKMGTOG119/nd27dxMUFES5cuUsaeP++ecfnnnmGQYOHEjnzp1xTf7zJhlXV1d69uxJz549uXTpEgsXLsRsNnPw4EG++OILvvjiC6r5+2Nq0YKBzZvjk2hUOwlHRyhbFlWzJnWVom7dukyZMoU1a9ZQp1QpY1QYmLVuHZoRQB+M7kZTjGkbEKeTrc05d464uIqkxt4YZk9sk7iZ82wdQd6GkdrtAMbocUmtdROt9Vit9dosaFf1+PdKcADwVEqVyoL3yp2UMjpzU6caKdfu3IESJYw5vtu3Q9++qV/3wANw4IDRIUy8WUiNGsaI9MGDUKVK0mtatzY6syaTMeLr4WF0zkuVMjrbZrMxipu4sztnjrE479FHjU53Qif2wQfhxReNkdrHHrP/vh94AHbvNra8LlbM6CD7+xubo+zebT21Xlreftv4TJ591siuobWxiNDb2xit/vJLI1eyEEIImymlaNiwITNmzODNN9+0nF+8eDE//vgjvXr1wtvbm+HDh7Nr1657c4HT4OnpaZmysW/fPl5++WXKlCnD0dBQxsyfT/lhw3j8gw9Ysm0bUQlT/ZycjM5x5crG4EqiqYcuLi507dqVCkpZplbsDw0FIoDZGGN+VTG+3D6btDGSLq5AU7b8g1VKFdJap795u61vqtR7gK/WOtDK6yeB4VrrX+OfO2MsCqyotQ5NVvZZ4FkAPz+/+mfSyuCQF0yYYHQ8TSYICsrp1ohcLq1dmFL7r21PeXvrtiYju+zJ2hj7KaX2aK0b2FE+f8VOkWtcvnyZRYsWERQUlGRu8kMPPcTTTz/Na6+9hrIjMNy9e5c1a9ZgNpuTLAwsVqgQvVu3xjRoEM26dUM5O1uvJDjYyFYRT/WuBpiBBUBCZigFvIleWvvedWXKoB5tZbXa+42z1kjczD7WYqeti/QyrXNso5tA4sSzCY9TbNWmtZ6ttW6gtW5Qxtb0X0IIUcBJ7BRZpWzZsrz88svs37/fsviuTJky/Pnnn6xdu9bSOdZa25Rj2dnZmS5durB8+XIuXrxoWXwXERnJ1z/9xMO9e1O1enXee+89rP6ilyhdnKE6MAVj1HgNxnQLF+Be5/jw2bNsPHQIsDKvQeRrNi/Sy2ZHSPyv1Hh8SWstubqEEEKIPKJ27dpMnTqVCxcusGrVKsaNu7exx/bt2/Hy8mLo0KFs3brVpikYpUqVskzZOHLkCK+//jo+Pj6cOHGCcePG4e/vT+vWrTGbzdy8efPehammiwNjKdbjwBKMbR66Wl75+OefeXTkSKASMB44maHPQORN2dpBVko5KaXcAEfAUSnlppRKbRXXPGCIUqqaUqoE8DYQlI1NFSJPsJYeKDPOZ1YaOkltJIRwdnamc+fOtGzZ0nIuODiYf//9lzlz5tCiRQsqV67MxIkTCQ0NtanOatWqMXnyZM6ePcuvv/5K3759cXNzIzg4mMDAQLy8vCybn8SVK5fkWgeVWme8OA7q3jSNB8uVo3z58kAoxqbBDwAtgDlAhN0xzJ7YJnEz59k0BznT3kypCRi/hiX2Lkbat6NANa312fiyrwJjAHdgOfC81jrNpLoNGjTQu3fvzuxmZy+ZgyyEyAB75yAnli9ip8iT/vzzT8xmM/Pnzycs0YK4Pn36sGTJErvri4iIYOnSpZjNZrYl5M4HKlSowODHH2dwzZo8ULZs+hXFL/qLq16djRs3EhQUxPLly7kVnxHqjTfe4IMPPrC7fSL3sRY7s7WDnNUkyAshCirpIIu8LDY2lt9//x2z2czKlSsZNmwY//vf/wC4fv06+/bto1WrVjhYG0JNxYkTJ5g3bx7z5s3j7Nl7GSqaP/ggppYt6d2sGcUSUqEmFp8uLnlGjP/++4/ly5djNpv58ssvefDBBwEwm838+eefmEwmHnrooQx+AiKn2N1Bjh/BtYnWeup9tC3TSJAXQhRU0kEW+UVERAR37twhYfHol19+ybBhw/Dz82PQoEGYTCYqV65sW2UxMcSdOcOmX37BvHo132/eTGT8wkA3Fxe6N2yI6ZFHaFOrFo4uLkYqiMqVjdSoNqaSqFu3Lvv37wegUaNGmEwm+vbtm2QXQpF7ZaSDfNrGurXWOuB+GpdZJMgLIQoq6SCL/Oqbb75h4sSJSTJUNGvWDJPJRO/evSlevHjKi7Q28vGfOGE8j8+BfPP2bZbv3Il540aCE+2s6lO6NAN79MA0fDjVEnaktYHWmm3btmE2m/nuu+/47z8j2ZaLiwudO3dm1KhRNGnSxP6bFtlGplgIIUQ+Jh1kkZ/FxcWxefNmgoKC+P7774mMNLLPtmvXjrVrk+1XpjVs22bsnJfG9tehV68yf/duzBs3cvLkvQwVDRs2tIwClypl+/5kt27d4ocffsBsNrNu3Tq01ixatIh+/foBEB0dne6ugiL7SQdZCCHyMekgi4Li5s2brFixArPZjMlkYvDgwQDs3buXJUuWYGralOpap9k5tnB0RD/wANv/+88yCvzvv/8C9zJvBAYG8vjjj+Oc1kYkyVy4cIFFixbx4osv4u7uDsCQIUPYs2cPgYGB9O/fn7K2LBYUWe6+O8hKqZIYyQL9MLJpW2itJ2ZGI++XBHkhREElHWRR0L3wwgvMmjULgPoBAQS2akW/5s2JKb2fU4UWE+1wFde4UgRE9sMzusW9Cx0doUsXcHIiKiqKH3/8kaCgINatW0dcnLFJSJkyZRgwYAAmk4k6derY3ba4uDgCAgIs00ScnJzo0KEDJpOJTp06ychyDrqvDrJSqgmwGogGygAXAO/456Faa9sn7GQhCfJCiIJKOsiioNu5cydzP/2U7378kYj4dGzOTg40aaLp3EXTsKFRzkG7UPW/5+51kh0doW5dqFgxSX1hYWEsWLAAs9nM0aNHLedr166NyWSif//+eNqRgDg6OpqffvoJs9nMmjVriI0f4S5ZsiRz5syhe/fu93H3IqPua6tp4GNgIVAOuA20xhhJ3g1MzqxGCiGEEEJkRKNGjfhq+HAuzp7N4pde4vE6dYiNi2PLVs0ff9wrF6PvcNJj0b0TsbGQKAdzAh8fH15//XUOHz7Mzp07GT58OCVLluTAgQO8+uqrlCtXjs6dO7N8+XKio9PcpgEAV1dXevbsyU8//cSFCxeYOnUqtWvX5tq1a0mycuzdu5cLFy7c12ch7p+tI8gRQEOt9XGl1A2gqdb6T6VUQ2CR1trGfCtZS0ZBhBAFlYwgCwEEB8M//1iefk9vfl8PjRvfGyD++WdYuRKGNR/EgBYt8CpeHMqUgVat0q0+Ojqa1atXExQUxJo1a4iJiQGgRIkS9OvXD5PJRMOGDVE2pogDY7OUxPmTGzVqxJ49e2jbti0mk4lu3bpZ5jGLzHe/I8h3Ej2+BFSIf3wT8LnPtgkhhBBC3D+XJEukKFeyNH37Jp09sXUrnDoFo+bPx/f55+n00Ucs27KF27dvp1u9q6srPXr0YNWqVVy4cIFp06ZRp04drl+/zsyZM2ncuDHVqlXjo48+snkUOHHn+Pbt25QvXx5HR0fWrl1L//798fLyYujQoWzdupX8lFght7N1BHktME9rvVAp9RVQH/gcGAgU1lo3zdpm2kZGQYQQBZWMIAsBnD4N+/ZZMlhcct3CsSJfEXXnDi4uxt4fsXecORvclh9/v8zqffuIiS9bvHhxJkyYwEsvvWT32x44cACz2czChQu5fPkyAA4ODrRp08YyCuyR2q59Vly9epUlS5ZgNpvZtWuX5fzSpUvp1auX3e0T1t3vIr0GQBGtdbBSqgwwD2gOHAee1lofzOwGZ4QEeSFEQSUdZCGAmBhYtSpJirdwl800e+lL2raLJbBP6SRZLC5HRLB4+3bM+/axb/9+5syZw5AhQwA4f/48AL6+vja//d27d1m7di1ms5lVq1Zx547xBXzRokXp3bs3JpOJ5s2b2zUF4+jRo8ybN48ffviBPXv2UKhQIQCmT59OsWLFePLJJylcuLDN9YmkJA+yEELkY9JBFiLeoUPGDnrxneRVu3fTZ9o0XJycCPvqKwq5ud0r6+hobC1dsyYHDx6kYsWKFClSBIARI0YwY8YMyyhw9+7d7RoFvnbtmmUUeOfOnZbzlSpVYvDgwQwePBh/f3+b69NaWzrWUVFReHt7ExERQaFChXjyyScxmUy0atUKBwdbZ88KuM85yEqpDUqp4qmcL6qU2pAJ7RNCCCGEuH81akDZssYmIFozat48bt+9S0xsLNPXrLlXztHRKFejBgC1atWydI4BYmJicHZ2Zt26dQwcOBAvLy+eeeYZtmzZYtNc4JIlSzJs2DB27NjB0aNHGTt2LD4+Ppw8eZLx48dTsWJFHn30UYKCgrh582a69SUfdf74449p3rw5kZGRzJs3j8cee4yKFSsybtw4wlLJyiHsY+sUizjAS2t9Odn5ssAFrbXt28tkIRkFEUIUVDKCLEQiWsPhw6xatIgBn37KzfgFeEXd3QmbO5dCrq7GyHGNGsbEZCuuXbvGd999h9lsZseOHZbzb775Ju+//77dzYqNjWX9+vWYzWZWrFhhWRjo4eHBk08+SWBgoN2jwH///Tfz5s1j3rx5lo1I9u/fT+3ateM/Cm3XlI6CJkNTLJRS9eIf7gbaAdcSvewItAee0Vr7Z15TM06CvBCioJIOshBJaa2pWqUKJ/7+23LOw9WVt0eO5I0PPgAnJ7vq++uvvzCbzcyfP58VK1bQqFEjAH799VfCwsLo1atXkhHo9ERERLBs2TLMZjNbt261nPfz82PQoEGYTKYk+ZHTExcXx6ZNm1i/fj3vvfee5Xzr1q3x9PTEZDLRtm1bHB0dba6zIMhoBzkOSCiQ2q8fUcAIrfU3mdLK+yRBXghRUEkHWYikVq1axYABA1JMXyhatChhYWGWxW72io2NxcHBwTIq26pVKzZt2oSHhwc9evTAZDLRunVru0aBT548aRkFDg0NtZxv1qwZJpOJ3r17U7x4cbvbev78efz8/CxTQry9vRk4cCAmk4nq1avbXV9+lNE5yBWBShid40bxzxOOckDR3NI5FkIIIYQAY/R41KhRqc7tjYmJYfr06Rmu29HR0dI51lpjMplo0aIFt27dYsGCBbRt2xZ/f3/eeustTp06ZVOdlSpV4t133+XkyZMEBwcTGBhIoUKF2L59O8899xxeXl707ds3yeYktvD19eX06dNMmjSJBx54gIsXL/Lxxx9To0YNGjZsyF9//ZWhz6AgkCwWIkMuXVrIqVNvER19FldXPwIC3sfTc0BON0uIAktGkPMGiZ3Zw9rocYIiRYpw8eLFDI8ip+bUqVPMmzcPs9lsGQWeNWsWzz33XIbqi4yMZMWKFQQFBREcHHzfo8Baa7Zv347ZbOa7774jJiaG8PBwy7SQw4cPU7VqVZydc8Wysmxz32nelFIdgOFAANBea31OKfUMcFprvT5TW5tBEuSzx6VLCzl27Fni4m5Zzjk4eFC16mwJ9ELkEOkg534SO7OH1pqqVaty4sQJq2U8PDx4++23eeONNzL9/ePi4tiyZQvz58/n448/pkSJEgC88cYbnDp1CpPJRLt27XCyYw702bNnmT9/PmazOcl91a9fH5PJRL9+/ShdurTN9UVFRXHgwAGaNGkCGFtoe3t74+TkRP/+/QkMDKROnTo215eX3e9GIQOAWcAc4Hmgutb6lFLqOaCH1rp9Zjc4IyTIZ4+QEH+io8+kOO/qWoGmTUOzv0FCCOkg5wESO7NHeqPHCbJiFNmauLg4ypUrR3h4OABeXl6WUeAa8WnmbKG15o8//sBsNrNkyRIiIiIAcHZ2plOnTphMJjp27Gj3KPCJEyfo1q0bR48etZyrVasWJpOJAQMG4OnpaVd9ecl95UEGXgeGaq1fARJPfvkDqHP/zRN5SXT0WbvOCyGEkNiZHdKae5xcbGzsfc1FtoeDgwM7d+7k/fffp0qVKoSHh/PJJ59Qs2ZN6tevz4YNtm0poZSiadOmzJo1i4sXL7JkyRI6dOhAbGwsK1eupFu3bvj4+PDyyy+zb98+m/I1A1SuXJnDhw+za9cuXnzxRUqWLMnBgwd57bXXKFeuHH8nygRSUNjaQa4MhKRy/iZQNPOaI/ICV1c/u84LIYSQ2JkdfvrpJ86dO2dT2Vu3bvHhhx8SGRmZxa0ylC9fnjfffJO//vqLkJAQnnvuOYoVK8bevXtxS7S73/nz5y1bVKfF3d2dPn368Msvv3Du3DmmTJlC9erV+eeff/jss8+oV68etWvX5n//+59l5DotSikaNGjA559/TlhYGMuXL6dLly7UrFmTSpUqWcp98skn7Nixw+bOd15lawc5DKiSyvmWwMnMa47ICwIC3sfBIel2mw4OHgQE2J80XQghCgqJnVnvwIEDFCtWDE9PTzw9PXFxcUnyuru7e5LXixUrxsmT2duNUUrRpEkTZs2aRXh4OD/88ANNmza1vB4YGIiPjw8jR45kz549NnVEfXx8GD16NIcOHWL37t2MGDGCUqVKcejQIUaNGoWvry+dOnVi2bJlls1J0uLq6kqPHj348ccf2blzpyVrx8mTJxk9ejRNmjShWrVqfPTRR5w/fz7jH0ZuprVO98CYYvEn0Bz4D3gEMAFXgOG21BFfT0lgJRAJnAH6WykXCMRijFAnHK3Sq79+/fpaZI/w8AV6+/YKOjhY6e3bK+jw8AVpnhdCZC1gt7YxFic/JHZmH4md2att27YaYz8HDeiiRYvqZcuW5XSzrIqKitK1atVK0uYaNWrojz/+WIeFhdlVV3R0tF6xYoXu2rWrdnJystRXvHhx/fzzz+uQkBAdFxdnV53nzp3Tr776qi5btqylPqWUbtu2rV6wYIGOioqyq77cwFrstCeLxfvAK0DC9wDRwCda63G2dsaVUosxRq2HYMxdXg0001ofSVYuEGOHvodtrRtkoUlOkxXaQuQcWaSXd0nszDrt2rVj3bp1ludFixZl7ty59OzZMwdblTatNfv27cNsNrNw4UKuXr0KGPOYV65cSZcuXeyu88qVKyxevJigoCD27dtnOV+1alVMJhODBg3C19fX5vru3r3L2rVrMZvNrFq1ijt37uDm5kZ4eDjFihWzu3056X4X6aG1fgsojbFhSBOgjJ2d40LAk8A4rfVNrfVWYBUwyNY6RO526tRbSQI8QFzcLU6deiuHWiSEELmfxE6RmFKKevXq8dlnnxEWFmZZfOfu7k7z5s0t5VasWEFISIhNUzDKlCnDyJEj2bt3r2XxnaenJ8eOHePNN9/Ez8+Ptm3bsnDhQm7dupVufQlZM5YtW8bFixeZOXMmY8eOtXSO79y5Q5MmTZg4cWKSnQHzkjQ7yEopD6XUDKXUBaXUZYw0b6Fa651a6/SXiCZVBYjVWh9PdO4AYC3LdV2l1D9KqeNKqXFKqVQTBiqlnlVK7VZK7b5y5YqdTRKZSVZoC5F3SOzMPSR2CmtcXFzo1q0bK1euJDw8nFKlSgHGboDDhw+nWbNmPPjgg3zwwQc2L06sWbMmn3zyCefPn+fnn3+mV69eODs78/vvvzNw4EC8vLwYMmQImzdvtqnzXbJkSV544QXGjx9vObd27Vp27NjB+PHjqVixIq1ateLbb7/lv//+y9gHkQPSG0F+F2M+8GpgCdAW+DKD71UYiEh2LgIokkrZzUANoCzGqHM/YHRqlWqtZ2utG2itG5QpUyaDTROZQVZoC5F3SOzMPSR2ClsULlzY8jgqKsrSmT1+/DhvvfUWFSpUoE2bNixYsMCmzBxOTk488cQTLF26lPDwcL788kuaNGnCf//9xzfffMMjjzxi2QL79OnTdrW1Y8eO/Pbbb/Tv3x93d3c2bdrE008/jZeXF4MGDbIpDV9OS6+D3AMYorV+Vms9EngC6KaUcszAe6WWEq4oxqK/JLTWp7TWp7XWcVrrQ8BEIPdOGBKArNAWQoiMkNgp7FWkSBE+/vhjzp07x+rVq+nduzcuLi6sX7+eQYMGsXfvXrvqK1GiBM8//zwhISH89ddfvPHGG/j6+nL69GkmTJhAQEAAjzzyCN98841No8COjo6WKRvh4eHMmTOHFi1acOvWLXbv3p1kc5bcmgUjvQ5yeWBLwhOt9U6MjUJ8MvBexwEnpVTlROdqA0eslE9MAyoD7ymykafnAKpWnY2rawVA4epaQRaZCCFEOiR2ioxycnKiY8eOfPfdd1y8eJFZs2bRs2dPHn74Xo6DoUOHMn78eJvT2VWtWpUPPviA0NBQ1q1bx8CBA3F3d2fz5s0MGTLEMgr8+++/Exsbm259RYsWtUzZ+Pvvv5k9e7YlbVxoaCh+fn40a9aMr776ihs3bmToc8gK6XWQHYHk2apjANs3EI+ntY4EVgATlVKFlFLNga7A/ORllVIdlFKe8Y8fBMYBP9r7niJ1ly4tJCTEn40bHQgJ8efSpYVWy+7f34aNG5Xl2L+/jd11ZFZbhBAip9gbq7IydkrcFKkpUaIEzz33HMuWLbN0QMPCwvjmm2+YOHEiDzzwAC1btmTu3Ln8+++/6dbn6OhImzZtmD9/PuHh4cydO5eWLVty69YtFixYQNu2bfH39+fNN9/k2LFjNrWxUqVKtGjRwvL84MGDFCpUiJCQEJ5//nm8vLzo06cPa9asISYmJo2asl6aad6UUnHAOoyUbgk6AJsAyzJHrbVNOUeUUiWBbzDmMl8FxmqtFyml/ICjQDWt9Vml1CcY2S0KA5eABcAkrfXdtOqXVEXpsyed0P79bbhxY32KOtzdqxEdHZqiDi8vE+HhZptTFUlqIyEyj6R5yzr2xqqsjJ0SN+2TF9O8Zaa4uDiCg4Mxm80sX77ckqHC3d2dHj168N577+Hv729XnadOnWLevHnMmzcvydzkJk2aYDKZ6NOnDyVKlLC5vsjISFasWIHZbGbDhg2WhYH+/v4cP34cZ2dnu9pnL2uxM70O8re2VK61fuo+2pZpJMinLyTEn+joMynOu7pWoGnT0CTnNm60d1aLI8b+LunXbW9bhBBpkw5y1rE3VmVl7JS4aZ+C3kFO7L///uP777/HbDazadMmnJycCAsLI2GR7vXr1+3q2MbFxbF161bMZjNLly61LLxzdXWla9eumEwm2rVrh5OT7ZMOzp49y/z58zGbzdSpU4elS5cCRt7lOXPm0KtXL0qXLm3HXacvQ3mQtdZP2XJkaktFlsradEKpz0Wy9z0ltZEQIjfJ+lhle+yUuCkyqkiRIjz11FNs3LiRkydPMm/ePEvnODY2llq1atG4cWO+/PJLrl27lm59Dg4Olikb4eHhzJ8/nzZt2nDnzh2WLl3KE088Qfny5Rk1ahSHDh2yqY1+fn689dZbHDt2jDlz5ljOr127lmHDhuHj40P37t354YcfuHMn+QzgzGXzRiEif8jadEKpJzex9z0ltZEQIjfJ+lhle+yUuCkyQ0BAAP369bM8P378OBEREezcuZNhw4bh7e1Nr169WL16tU1zgQsVKsTAgQNZt24dZ86c4YMPPqBq1aqEh4fzv//9j1q1alGvXj2mT5+OLXnXlVIULXov8VmJEiXo0KEDsbGx/PDDD3Tv3p1y5crx0ksvsXfvXpvyNdtLOsgFjD3phIoXfyzVOtzdq6Vah4/Ps3alKpLURkKIvMDeWJWVsVPi5v3J6lHHvOqhhx4iPDzcsvju7t27fP/993Tq1AlfX19OnTplc13ly5fnjTfe4M8//7QsvitevDj79u3jpZdewsfHh27dutk1Cty8eXN++eUXzp8/z8cff0yNGjX4559/mD59Or17987obadJOsgFjKfnAIoWbZrkXNGiTfH0HJBi1TUYAT0xd/dqNG58JNWURFWqzMTLy8S90RBHvLxMVheOSGojIUReYE/c3L+/DXXq/J5lsVPipn369etHly5dLEeHDh2oXbt2TjcrV/Lw8GDAgAH89ttvnD17lg8//JCqVavi6uqaZCHfypUruXz5crr1KaVo0qQJX375JRcvXmTp0qV07NgRrTU//vgj3bt3x8fHh5EjR7Jnzx6bRoG9vb0ZNWoUBw8eZM+ePYwYMYKRI0dasnacP3+eTp06sXTpUm7fvp3hzwLSWaSX18hCk/QdPz6MsLCUmyE6O/tw925YKlcojDTUBslKIUTuJIv0so69cdNatgqJnSKv0VoTHh6Ot7c3AOHh4fj6+qKUomPHjphMJjp16oSLi4vNdYaHh7Nw4ULMZnOSucnVq1cnMDCQAQMGWN7PXh9++CFvvvkmAMWLF6dPnz4EBgbSuHFjSyc6uQxlschrJMinb+NGJ6wtCLGVZKUQIveRDnLWyYy4CRI7Rd537NgxRo0axZo1ayybhJQsWZL+/ftjMpmoX7++1Y5oclpr9u/fT1BQEIsWLeKff/4BjMV/7du3x2Qy0bVrV9zc3Gxu35UrV1i8eDFmsznJboJVqlRh6NChjBo1KsU1GcpiIfKj+w/ykpVCCFGw3H/cBImdIu+rWrUqP/30ExcuXOB///sfNWvW5Nq1a3zxxRc0adLEpgV4CZRS1K1bl88++4wLFy5YFt85OjqyZs0a+vbti5eXl2ULbFsGdMuUKWOZsnHw4EFee+01PD09OX78ONu3b7eUi42NJTIyMs26pINc4KS+WtoekpVCCFGw3H/cBImdIv/w9PTk1Vdf5cCBA+zdu5eXXnqJgQMHUrZsWcDIkTx48GCWLFlCVFRUuvW5uLjQtWtXVqxYQVhYGNOnT6d+/fpERETw1Vdf0axZMx588EHef/99zp617RfHmjVr8sknn3D+/HlWr17N2LFjLa+tW7cOLy8vXn31VavXSwe5gPHxeTbV887OPlauSPpViWSlEEIUNPbGTWvZKiR2ivwmYRT4008/JSgoyHJ+48aNzJ8/n379+uHt7c1zzz3H9u3bbRoFLl26NCNGjGD37t0cPnyY0aNH4+XlxfHjx3n77bfx9/e3bIGd3igwgJOTEx07dqRRo0aWc9u2bePmzZtpXi8d5AKmSpWZ+Pi8QOLV0j4+L9C8+YUUqYmKF3+Mhx6ab/NqaVldLYTIj+yNm9ayVUjsTNtvv/1Ghw4dKFWqFG5ublSpUoUxY8Zw/fr1DNX36aefsmLFihTnJ0yYkGKerFKKCRMmZOh9REp16tThiy++oEGDBkRERDB79myaN29O1apVee+992waVQZj4d6UKVM4d+4cv/zyC3369MHFxYX169czePBgvLy8eOqpp9i0aRNxcXE2t2/SpEn89ddfjBkzxmoZ6SDnIZcuLSQkxJ+NGx0ICfHn0qWFaZY/fnwYGzc6xacfcuL48WEAXL++iXtz6mLjn8ONG5uTXH/jxmb+/HNo/OIRTXT0Gf78cygA27aVS5LaaNu2ctlyT0IIYa/MiJ32xE0gS2NnfoybH3zwAe3bt8fNzY05c+awdu1ann/+eYKCgmjYsCHnzp2zu05rHeTUhISE8Mwzz9j9HiJ1JUuWZPjw4ezatcsyCuzt7c2JEyeYNWtWkqwXtuRCdnJyokOHDixZsoTw8HBmzZpF06ZNuXnzJkFBQbRq1YpKlSoxfvx4Tp48aVMbq1atSkBAgNXXJYtFHmFvGiBraYkcHIoTF3cjS9ro4FAcuCOpjYTIAZLFInWZFTuzkj2xMz/GzeDgYB577DFeeuklpk2bluS106dPU79+fWrXrk1wcLBd9fr7+/Pwww+zYMGCJOcnTJjAu+++myW7rwFER0fj6uqaJXXnZTExMfz+++/cuHGDvn37AkbWiapVq9KlSxdMJhOPPPIIDg62j90eP36cefPmMW/evCS/RD388MMEBgbSq1evJDvypUayWORxp069lSQgAsTF3eLUqbdSLR8WNjvV81nVOU6o25422ntPQghhr8yKnVnJntiZH+PmlClTKFmyJB9++GGK1ypWrMjYsWPZuHEjO3bsIDQ0FKVUkvmuYMx5VUqxceNGwOgcnzlzhoULF6KUQilFYGCg1TakNsXiwIEDdOnShRIlSuDu7k7z5s3ZsmVLkjKBgYH4+voSEhJCs2bNcHd35/XXX8/Ix5DvOTk58fjjj1s6xwC///47169fx2w207p1awICAnjnnXf4+++/baqzSpUqvPfee4SGhrJ+/XoGDRqEh4cHW7du5ZlnnsHLy8uy+UlCWjpbSQc5j7A/DVDmpCXKDJLaSAiRU/Jb7MxvcTMmJoZNmzbRtm1bq/luu3TpAsCGDRtsrnflypV4eXnRvn17QkJCCAkJYdy4cTZfv3fvXpo1a8a1a9f4+uuvWb58OaVKlaJNmzbs2bMnSdmIiAj69u1Lv379WLNmDf3797f5fQq6fv36WRbf+fn5cebMGSZNmkTlypV55JFHuHv3rk31ODg40Lp1a+bNm0d4eDjffvstjzzyCFFRUSxatIj27dtToUIF3njjDf766y/b6ryfGxPZx/40QJmTligzSGojIUROyW+xM7/FzatXrxIVFZVkK+PkEl6zZx5y3bp1cXV1pXTp0jRp0oQmTZpQqVIlm68fPXo0fn5+bNiwgZ49e9KxY0dWrlxJQEAAkyZNSlL25s2bTJ8+nREjRtCqVSsaN25s8/sIqFy5MpMmTeL06dOWxXceHh64ubnh7OwMGGnj1q9fb9MocJEiRQgMDGTjxo2cOnWKd999l4CAAC5cuMBHH33EQw89ROPGjfnyyy+5du2a1Xqkg5xH2JsGyFpaImOuW9ZwcCguqY2EELlKZsXOrGRP7MxvcTM3roOKiopi06ZN9OrVCwcHB2JiYoiJiUFrTZs2bdi8OenCTCcnJzp16pRDrc0/EkaBzWYzly5dYtasWZbXtm3bRps2bfDz82PMmDEcPXrUpjorVqxombKxefNmhgwZQpEiRdi5cyfDhg1Lc0tr6SDnEWmlAUptRbO1tEQtW17H3b1akrrd3avRqpW1IJX8n4gDrVrpFPk/nZ19aNnyuqQ2EkLkKpkVO+2Jm8b5rImd+S1uli5dGnd3d0JDQ62WSXitfPny2dKma9euERsby6RJk3B2dk5yfPHFF1y/fj1JSrGyZcvi6Jh7vnnIDwoXLkzFihUtzyMiIqhUqRJhYWFMmTKF6tWr06hRI2bMmJHmKHACpRQtWrRgzpw5hIeHs3DhQtq1a5fmFA6nTLkTkS08PQeku6I5OvoMx44ZIyBVqsykSpWZKepp3PhIinMJKeBSSp5XMI7jx4fRvPkFm9uYFnvLCyGEvTIrdiZnLW7u2FGdrIyd+SluOjk50bJlS9atW8ft27dTnYe8atUqAFq3bm15PXlqsKtXr2Zam4oXL46DgwPDhw9n8ODBqZZJnGkheU5lkfk6derEE088wfbt2zGbzXz33Xfs2rWLXbt28fHHH3P69Gmb/x48PDzo378//fv35/z581Z/8ZIR5Dwus1Y027NyOydWeQshRGbKjNhpLRZGRaX+9a/EztSNHj2aq1ev8uabb6Z47fTp00yePJmWLVvSuHFjPD09cXV15fDhw0nKrV69OsW1rq6uNm9IkVihQoVo0aIFBw4coF69ejRo0CDFIbKfUormzZsze/ZswsPDWbx4Me3bt6dfv36WzvHVq1d59dVX2b9/v011+vr6Wn1NRpDzuMxb0WzPyu3cs8pbCCEyInNip72xUGJnah577DEmTpzIO++8Q2hoKIMHD6ZEiRLs3buXjz76iGLFijF//nzA6CT16dOHuXPnUqVKFapWrcrq1ast6d0Sq1atGlu2bOHnn3/Gy8uL0qVLp7kYMLGpU6fSsmVL2rdvz5AhQ/D29uaff/5h7969xMbG8tFHH2XiJyDs5e7uTt++fenbt2+SeexLlixh2rRpTJs2jdq1a2MymRgwYABly5a1+z1kBDmPy7wVzfbMn5K5VkKIvC1zYqe9sVBipzXjxo1jzZo1REZG8tRTT9GuXTtmzpzJ4MGD2b17N35+9/5ePvvsM3r06MGECRPo06cPt2/f5vPPP09R54cffkjVqlXp3bs3DRs2tGsr6Xr16rFr1y5KlSrFyJEjadeuHS+99BKHDh2iZcuWmXHLIpMknlrRsmVLhg8fTsmSJTlw4ACvvvoqPj4+dOnShZUrV9pXb25cQZpR+Xk3KGsya1cle3aP8vF5wab5eUKI7CM76dknM2Kntbjp7l4t1WkWEjuFyB7R0dGsXr2aoKAg1qxZQ0xMDK1bt2b9+vXAvewp8ZvI5PxOekqpkkqplUqpSKXUGaWU1WzaSqlXlFLhSqkIpdQ3SinZtzEVmbWi2drK7dTOSYAXQuR1mRE7rcXNxo2PSOwUIge5urrSo0cPVq1axYULF5g2bRqvvfaa5fU//viDatWq8emnn1qtI1tHkJVSizE65UOAOsBqoJnW+kiycu2BeUBrIAxYCfyhtR6bVv0FcRRECCFARpCFEMJWr7zyCp9++il9+/ZlyZIlOTuCrJQqBDwJjNNa39RabwVWAYNSKW4C5mqtj2itrwOTgMDsaqsQQgghhMifpkyZwqpVqxg9erTVMtmZxaIKEKu1Pp7o3AHgkVTKVgd+TFbOUylVSmudeckOhRBCCCFEgeLs7Eznzp3TLJOdHeTCQESycxFAERvKJjwuAiTpICulngUS9gaNVkolTY6YP5UG/snpRmSTgnKvcp/5S07cZwV7CkvszNfkPvOXgnKfkItiZ3Z2kG8CRZOdKwr8Z0PZhMcpymqtZwOzAZRSuzM6By8vKSj3CQXnXuU+85e8cJ8SO/Mvuc/8paDcJ+Sue83OLBbHASelVOVE52oDKfc9Ns7VTlbukkyvEEIIIYQQWS3bOsha60hgBTBRKVVIKdUc6ArMT6X4PGCIUqqaUqoE8DYQlF1tFUIIIYQQBVd276Q3DHAHLgOLgRe01keUUn5KqZtKKT8ArfWvwBQgGDgTf4y3of6CstF9QblPKDj3KveZv+S1+8xr7c0ouc/8Re4z/8k195qvdtITQgghhBDifmX3CLIQQgghhBC5mnSQhRBCCCGESCRfdJCVUiWVUiuVUpFKqTNKqf453aasoJR6USm1WykVrZQKyun2ZBWllKtSam783+V/Sql9SqkOOd2urKCUWqCUuqiU+lcpdVwp9UxOtykrKaUqK6VuK6UW5HRbsoJSamP8/d2MP47ldJvSUhBip8TN/EfiZv6TG2NnvuggAzOAO4AnMAD4UilVPWeblCXCgPeAb3K6IVnMCTiHsctiMWAcsFQp5Z+TjcoiHwL+WuuiQBfgPaVU/RxuU1aaAezK6UZksRe11oXjj6o53Zh0FITYKXEz/5G4mT/lqtiZ5zvISqlCwJPAOK31Ta31VmAVMChnW5b5tNYrtNY/kGw3wfxGax2ptZ6gtQ7VWsdprX8GTgP5LgBqrY9oraMTnsYflXKwSVlGKdUXuAGsz+GmCApO7JS4KXEzL5O4mXPyfAcZqALEaq2PJzp3AMhvoyAFllLKE+PvObVNZfI8pdRMpdQt4C/gIvBLDjcp0ymligITgddyui3Z4EOl1D9KqW1KqVY53Zg0SOzMxyRu5n0FLG5CLoud+aGDXBiISHYuAiiSA20RmUwp5QwsBMxa679yuj1ZQWs9DOPfawuMzXSi074iT5oEzNVan8vphmSxMUAAUA4jn+dPSqncOrIlsTOfkriZbxSUuAm5MHbmhw7yTaBosnNFgf9yoC0iEymlHDB2WrwDvJjDzclSWuvY+K+4fYEXcro9mUkpVQdoA0zL4aZkOa31Dq31f1rraK21GdgGdMzpdlkhsTMfkriZPxSkuAm5M3Y65eSbZ5LjgJNSqrLW+kT8udrk06+VCgqllALmYiwe6qi1vpvDTcouTuS/uXStAH/grPHXSmHAUSlVTWtdLwfblR00oHK6EVZI7MxnJG7mK60ouHETckHszPMjyFrrSIyvVyYqpQoppZoDXTF+g85XlFJOSik3wBHjP4qbUio//JKTmi+Bh4DOWuuonG5MVlBKlVVK9VVKFVZKOSql2gP9gA053bZMNhvjh1ed+GMWsBpon3NNynxKqeJKqfYJ/y+VUgOAlsDanG5bagpK7JS4mb9I3MxfcRNyb+zM8x3keMMAd+AysBh4QWudH0dB3gaigLHAwPjHb+doi7KAUqoC8BxGUAhPlBdxQM62LNNpjK8FzwPXgU+Al7XWP+ZoqzKZ1vqW1jo84cD4av+21vpKTrctkzljpBO7AvwDjAC6aa1zPJ9nGgpC7JS4mb9I3Mx/cmXsVFrrnHx/IYQQQgghcpX8MoIshBBCCCFEppAOshBCCCGEEIlIB1kIIYQQQohEpIMshBBCCCFEItJBFkIIIYQQIhHpIAshhBBCCJGIdJCFSIdSKlQpNSqN1wOVUjezs01pUUoFKaV+zul2CCEKNomdIi+TDrLIE+IDl44/7iqlTimlPlFKFbLxev/4axtkdVuzS368JyFE5pLYmVJ+vCeR+fLrdpsif/odGISx604LYA5QCGNXJSGEEKmT2CmEnWQEWeQl0fHbbp7TWi8CFgLdAJThdaXUSaVUlFLqkFJqYKJrT8f/uSt+5GBj/HUNlVK/KaX+UUr9q5TaqpRqer8NVUp1VkrtUUrdVkqdVkq9r5RySfR6qFLqbaXUV/Hve14pNTpZHVWUUpvi6zimlOoYv3VsYFr3lOj6l5RSF5RS15VS3yqlPO73voQQeZLETomdwk7SQRZ5WRTGiAgY+7gPAYYD1YAPga+UUk/Ev94o/s/HAW+gR/zzIsB8jFGVRsB+4BelVOmMNkop1R7jB9AXQHXgaaAn8EGyoq8Ah4B6wGRgSsIPGKWUA7ASiAGaAIHAeMA10fXW7on4+6kBtAH6AN2BlzJ6T0KIfEViZ+r3BBI7RQKttRxy5PoDCAJ+TvS8EfAP8B3GV4VRQItk13wK/BL/2B/QQIN03kcBF4GBic6FAqPSuCYQuJno+WZgXLIy3YCbgEpU5+JkZU4Ab8c/bo8R4Msler1Z/D0EpnVP8Z/VOcAp0bmvgd9z+u9RDjnkyN5DYqfETjkydsgcZJGXPB6/4tkJY/TjR2AExqiHG/CrUkonKu+MEUytUkqVBSYBjwKegCPgDvjdRzvrA42UUmMSnXOIr9cL44cIwMFk14UBZeMfPwiEaa0vJHp9FxBnYxuOaq1jktXd2MZrhRD5i8ROiZ3CTtJBFnnJZuBZ4C5GALwLoJSqGP96Z+BssmvuplOnGSO4v4LxAyEaWA+4pHFNehyAd4Flqbx2JY22ae5Ne1LxzzMqrbqFEAWLxE7bSewUgHSQRd5yS2v9dyrnj2IE5wpa6w1Wrr0T/6djsvMPAyO11qsBlFKeGHPS7sde4EErbbXVn0A5pZSP1jos/lwDkgZqa/ckhBCJSeyU2CnsJB1kkedprf9TSn0CfKKUUhijJYUxFmjEaa1nA5cx5tq1V0qFAre11hHAcWCgUmoHxny8KdwLnhk1EfhZKXUGWIoxH64G0Ehr/bqNdawDjgFmZSTadwemxteVMDpi7Z6EECJdEjsldgrr5GsDkV+MAyYAo4AjGEHySeLT+cTPKRsJPIMxp+zH+OuexviBsAdYAnxDOnPv0qO1Xgs8gTE3b2f8MZaUX2GmVUccxupp1/jrzcD7GAH+djr3JIQQtpLYKbFTpCJhVagQIpdTStXGSKXUQGu9J4ebI4QQeYLETpER0kEWIpdSSnUHIjFSGPljfE2ogLpa/uMKIUSqJHaKzCBzkIXIvYpgJMEvD1wHNgKvSIAXQog0SewU901GkIUQQgghhEhEFukJIYQQQgiRiHSQhRBCCCGESEQ6yEIIIYQQQiQiHWQhhBBCCCESkQ6yEEIIIYQQiUgHWQghhBBCiET+DwoCHjgT+mFUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_outliers = np.array([[3.4, 1.3], [3.2, 0.8]])\n",
    "y_outliers = np.array([0, 0])\n",
    "Xo1 = np.concatenate([X, X_outliers[:1]], axis=0)\n",
    "yo1 = np.concatenate([y, y_outliers[:1]], axis=0)\n",
    "Xo2 = np.concatenate([X, X_outliers[1:]], axis=0)\n",
    "yo2 = np.concatenate([y, y_outliers[1:]], axis=0)\n",
    "\n",
    "svm_clf2 = SVC(kernel=\"linear\", C=10**9)\n",
    "svm_clf2.fit(Xo2, yo2)\n",
    "\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(10,2.7), sharey=True)\n",
    "\n",
    "plt.sca(axes[0])\n",
    "plt.plot(Xo1[:, 0][yo1==1], Xo1[:, 1][yo1==1], \"bs\")\n",
    "plt.plot(Xo1[:, 0][yo1==0], Xo1[:, 1][yo1==0], \"yo\")\n",
    "plt.text(0.3, 1.0, \"Impossible!\", fontsize=24, color=\"red\")\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.ylabel(\"Petal width\", fontsize=14)\n",
    "plt.annotate(\"Outlier\",\n",
    "             xy=(X_outliers[0][0], X_outliers[0][1]),\n",
    "             xytext=(2.5, 1.7),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=16,\n",
    "            )\n",
    "plt.axis([0, 5.5, 0, 2])\n",
    "\n",
    "plt.sca(axes[1])\n",
    "plt.plot(Xo2[:, 0][yo2==1], Xo2[:, 1][yo2==1], \"bs\")\n",
    "plt.plot(Xo2[:, 0][yo2==0], Xo2[:, 1][yo2==0], \"yo\")\n",
    "plot_svc_decision_boundary(svm_clf2, 0, 5.5)\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.annotate(\"Outlier\",\n",
    "             xy=(X_outliers[1][0], X_outliers[1][1]),\n",
    "             xytext=(3.2, 0.08),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=16,\n",
    "            )\n",
    "plt.axis([0, 5.5, 0, 2])\n",
    "\n",
    "save_fig(\"sensitivity_to_outliers_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Large margin *vs* margin violations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('scaler', StandardScaler()),\n",
       "                ('linear_svc', LinearSVC(C=1, loss='hinge', random_state=42))])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn import datasets\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.svm import LinearSVC\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris[\"data\"][:, (2, 3)]  # petal length, petal width\n",
    "y = (iris[\"target\"] == 2).astype(np.float64)  # Iris virginica\n",
    "\n",
    "svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"linear_svc\", LinearSVC(C=1, loss=\"hinge\", random_state=42)),\n",
    "    ])\n",
    "\n",
    "svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svm_clf.predict([[5.5, 1.7]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's generate the graph comparing different regularization settings:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/igor/software/Anaconda3-2020-11/lib/python3.8/site-packages/sklearn/svm/_base.py:985: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n",
      "  warnings.warn(\"Liblinear failed to converge, increase \"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('scaler', StandardScaler()),\n",
       "                ('linear_svc',\n",
       "                 LinearSVC(C=100, loss='hinge', random_state=42))])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler = StandardScaler()\n",
    "svm_clf1 = LinearSVC(C=1, loss=\"hinge\", random_state=42)\n",
    "svm_clf2 = LinearSVC(C=100, loss=\"hinge\", random_state=42)\n",
    "\n",
    "scaled_svm_clf1 = Pipeline([\n",
    "        (\"scaler\", scaler),\n",
    "        (\"linear_svc\", svm_clf1),\n",
    "    ])\n",
    "scaled_svm_clf2 = Pipeline([\n",
    "        (\"scaler\", scaler),\n",
    "        (\"linear_svc\", svm_clf2),\n",
    "    ])\n",
    "\n",
    "scaled_svm_clf1.fit(X, y)\n",
    "scaled_svm_clf2.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert to unscaled parameters\n",
    "b1 = svm_clf1.decision_function([-scaler.mean_ / scaler.scale_])\n",
    "b2 = svm_clf2.decision_function([-scaler.mean_ / scaler.scale_])\n",
    "w1 = svm_clf1.coef_[0] / scaler.scale_\n",
    "w2 = svm_clf2.coef_[0] / scaler.scale_\n",
    "svm_clf1.intercept_ = np.array([b1])\n",
    "svm_clf2.intercept_ = np.array([b2])\n",
    "svm_clf1.coef_ = np.array([w1])\n",
    "svm_clf2.coef_ = np.array([w2])\n",
    "\n",
    "# Find support vectors (LinearSVC does not do this automatically)\n",
    "t = y * 2 - 1\n",
    "support_vectors_idx1 = (t * (X.dot(w1) + b1) < 1).ravel()\n",
    "support_vectors_idx2 = (t * (X.dot(w2) + b2) < 1).ravel()\n",
    "svm_clf1.support_vectors_ = X[support_vectors_idx1]\n",
    "svm_clf2.support_vectors_ = X[support_vectors_idx2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure regularization_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(10,2.7), sharey=True)\n",
    "\n",
    "plt.sca(axes[0])\n",
    "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\", label=\"Iris virginica\")\n",
    "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\", label=\"Iris versicolor\")\n",
    "plot_svc_decision_boundary(svm_clf1, 4, 5.9)\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.ylabel(\"Petal width\", fontsize=14)\n",
    "plt.legend(loc=\"upper left\", fontsize=14)\n",
    "plt.title(\"$C = {}$\".format(svm_clf1.C), fontsize=16)\n",
    "plt.axis([4, 5.9, 0.8, 2.8])\n",
    "\n",
    "plt.sca(axes[1])\n",
    "plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
    "plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
    "plot_svc_decision_boundary(svm_clf2, 4, 5.99)\n",
    "plt.xlabel(\"Petal length\", fontsize=14)\n",
    "plt.title(\"$C = {}$\".format(svm_clf2.C), fontsize=16)\n",
    "plt.axis([4, 5.9, 0.8, 2.8])\n",
    "\n",
    "save_fig(\"regularization_plot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Non-linear classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure higher_dimensions_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n",
    "X2D = np.c_[X1D, X1D**2]\n",
    "y = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
    "\n",
    "plt.figure(figsize=(10, 3))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.plot(X1D[:, 0][y==0], np.zeros(4), \"bs\")\n",
    "plt.plot(X1D[:, 0][y==1], np.zeros(5), \"g^\")\n",
    "plt.gca().get_yaxis().set_ticks([])\n",
    "plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "plt.axis([-4.5, 4.5, -0.2, 0.2])\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.axvline(x=0, color='k')\n",
    "plt.plot(X2D[:, 0][y==0], X2D[:, 1][y==0], \"bs\")\n",
    "plt.plot(X2D[:, 0][y==1], X2D[:, 1][y==1], \"g^\")\n",
    "plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "plt.ylabel(r\"$x_2$  \", fontsize=20, rotation=0)\n",
    "plt.gca().get_yaxis().set_ticks([0, 4, 8, 12, 16])\n",
    "plt.plot([-4.5, 4.5], [6.5, 6.5], \"r--\", linewidth=3)\n",
    "plt.axis([-4.5, 4.5, -1, 17])\n",
    "\n",
    "plt.subplots_adjust(right=1)\n",
    "\n",
    "save_fig(\"higher_dimensions_plot\", tight_layout=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
    "\n",
    "def plot_dataset(X, y, axes):\n",
    "    plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
    "    plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
    "    plt.axis(axes)\n",
    "    plt.grid(True, which='both')\n",
    "    plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "    plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
    "\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/igor/software/Anaconda3-2020-11/lib/python3.8/site-packages/sklearn/svm/_base.py:985: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n",
      "  warnings.warn(\"Liblinear failed to converge, increase \"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('poly_features', PolynomialFeatures(degree=3)),\n",
       "                ('scaler', StandardScaler()),\n",
       "                ('svm_clf', LinearSVC(C=10, loss='hinge', random_state=42))])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "polynomial_svm_clf = Pipeline([\n",
    "        (\"poly_features\", PolynomialFeatures(degree=3)),\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\", random_state=42))\n",
    "    ])\n",
    "\n",
    "polynomial_svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure moons_polynomial_svc_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_predictions(clf, axes):\n",
    "    x0s = np.linspace(axes[0], axes[1], 100)\n",
    "    x1s = np.linspace(axes[2], axes[3], 100)\n",
    "    x0, x1 = np.meshgrid(x0s, x1s)\n",
    "    X = np.c_[x0.ravel(), x1.ravel()]\n",
    "    y_pred = clf.predict(X).reshape(x0.shape)\n",
    "    y_decision = clf.decision_function(X).reshape(x0.shape)\n",
    "    plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n",
    "    plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1)\n",
    "\n",
    "plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
    "\n",
    "save_fig(\"moons_polynomial_svc_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('scaler', StandardScaler()),\n",
       "                ('svm_clf', SVC(C=5, coef0=1, kernel='poly'))])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "\n",
    "poly_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"poly\", degree=3, coef0=1, C=5))\n",
    "    ])\n",
    "poly_kernel_svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('scaler', StandardScaler()),\n",
       "                ('svm_clf', SVC(C=5, coef0=100, degree=10, kernel='poly'))])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly100_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"poly\", degree=10, coef0=100, C=5))\n",
    "    ])\n",
    "poly100_kernel_svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure moons_kernelized_polynomial_svc_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(10.5, 4), sharey=True)\n",
    "\n",
    "plt.sca(axes[0])\n",
    "plot_predictions(poly_kernel_svm_clf, [-1.5, 2.45, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.4, -1, 1.5])\n",
    "plt.title(r\"$d=3, r=1, C=5$\", fontsize=18)\n",
    "\n",
    "plt.sca(axes[1])\n",
    "plot_predictions(poly100_kernel_svm_clf, [-1.5, 2.45, -1, 1.5])\n",
    "plot_dataset(X, y, [-1.5, 2.4, -1, 1.5])\n",
    "plt.title(r\"$d=10, r=100, C=5$\", fontsize=18)\n",
    "plt.ylabel(\"\")\n",
    "\n",
    "save_fig(\"moons_kernelized_polynomial_svc_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure kernel_method_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def gaussian_rbf(x, landmark, gamma):\n",
    "    return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n",
    "\n",
    "gamma = 0.3\n",
    "\n",
    "x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n",
    "x2s = gaussian_rbf(x1s, -2, gamma)\n",
    "x3s = gaussian_rbf(x1s, 1, gamma)\n",
    "\n",
    "XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n",
    "yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
    "\n",
    "plt.figure(figsize=(10.5, 4))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n",
    "plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\")\n",
    "plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\")\n",
    "plt.plot(x1s, x2s, \"g--\")\n",
    "plt.plot(x1s, x3s, \"b:\")\n",
    "plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n",
    "plt.xlabel(r\"$x_1$\", fontsize=20)\n",
    "plt.ylabel(r\"Similarity\", fontsize=14)\n",
    "plt.annotate(r'$\\mathbf{x}$',\n",
    "             xy=(X1D[3, 0], 0),\n",
    "             xytext=(-0.5, 0.20),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=18,\n",
    "            )\n",
    "plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n",
    "plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n",
    "plt.axis([-4.5, 4.5, -0.1, 1.1])\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.axvline(x=0, color='k')\n",
    "plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\")\n",
    "plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\")\n",
    "plt.xlabel(r\"$x_2$\", fontsize=20)\n",
    "plt.ylabel(r\"$x_3$  \", fontsize=20, rotation=0)\n",
    "plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n",
    "             xy=(XK[3, 0], XK[3, 1]),\n",
    "             xytext=(0.65, 0.50),\n",
    "             ha=\"center\",\n",
    "             arrowprops=dict(facecolor='black', shrink=0.1),\n",
    "             fontsize=18,\n",
    "            )\n",
    "plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n",
    "plt.axis([-0.1, 1.1, -0.1, 1.1])\n",
    "    \n",
    "plt.subplots_adjust(right=1)\n",
    "\n",
    "save_fig(\"kernel_method_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Phi(-1.0, -2) = [0.74081822]\n",
      "Phi(-1.0, 1) = [0.30119421]\n"
     ]
    }
   ],
   "source": [
    "x1_example = X1D[3, 0]\n",
    "for landmark in (-2, 1):\n",
    "    k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n",
    "    print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('scaler', StandardScaler()),\n",
       "                ('svm_clf', SVC(C=0.001, gamma=5))])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rbf_kernel_svm_clf = Pipeline([\n",
    "        (\"scaler\", StandardScaler()),\n",
    "        (\"svm_clf\", SVC(kernel=\"rbf\", gamma=5, C=0.001))\n",
    "    ])\n",
    "rbf_kernel_svm_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure moons_rbf_svc_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x504 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "\n",
    "gamma1, gamma2 = 0.1, 5\n",
    "C1, C2 = 0.001, 1000\n",
    "hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n",
    "\n",
    "svm_clfs = []\n",
    "for gamma, C in hyperparams:\n",
    "    rbf_kernel_svm_clf = Pipeline([\n",
    "            (\"scaler\", StandardScaler()),\n",
    "            (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n",
    "        ])\n",
    "    rbf_kernel_svm_clf.fit(X, y)\n",
    "    svm_clfs.append(rbf_kernel_svm_clf)\n",
    "\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(10.5, 7), sharex=True, sharey=True)\n",
    "\n",
    "for i, svm_clf in enumerate(svm_clfs):\n",
    "    plt.sca(axes[i // 2, i % 2])\n",
    "    plot_predictions(svm_clf, [-1.5, 2.45, -1, 1.5])\n",
    "    plot_dataset(X, y, [-1.5, 2.45, -1, 1.5])\n",
    "    gamma, C = hyperparams[i]\n",
    "    plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)\n",
    "    if i in (0, 1):\n",
    "        plt.xlabel(\"\")\n",
    "    if i in (1, 3):\n",
    "        plt.ylabel(\"\")\n",
    "\n",
    "save_fig(\"moons_rbf_svc_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "m = 50\n",
    "X = 2 * np.random.rand(m, 1)\n",
    "y = (4 + 3 * X + np.random.randn(m, 1)).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearSVR(epsilon=1.5, random_state=42)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import LinearSVR\n",
    "\n",
    "svm_reg = LinearSVR(epsilon=1.5, random_state=42)\n",
    "svm_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "svm_reg1 = LinearSVR(epsilon=1.5, random_state=42)\n",
    "svm_reg2 = LinearSVR(epsilon=0.5, random_state=42)\n",
    "svm_reg1.fit(X, y)\n",
    "svm_reg2.fit(X, y)\n",
    "\n",
    "def find_support_vectors(svm_reg, X, y):\n",
    "    y_pred = svm_reg.predict(X)\n",
    "    off_margin = (np.abs(y - y_pred) >= svm_reg.epsilon)\n",
    "    return np.argwhere(off_margin)\n",
    "\n",
    "svm_reg1.support_ = find_support_vectors(svm_reg1, X, y)\n",
    "svm_reg2.support_ = find_support_vectors(svm_reg2, X, y)\n",
    "\n",
    "eps_x1 = 1\n",
    "eps_y_pred = svm_reg1.predict([[eps_x1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure svm_regression_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_svm_regression(svm_reg, X, y, axes):\n",
    "    x1s = np.linspace(axes[0], axes[1], 100).reshape(100, 1)\n",
    "    y_pred = svm_reg.predict(x1s)\n",
    "    plt.plot(x1s, y_pred, \"k-\", linewidth=2, label=r\"$\\hat{y}$\")\n",
    "    plt.plot(x1s, y_pred + svm_reg.epsilon, \"k--\")\n",
    "    plt.plot(x1s, y_pred - svm_reg.epsilon, \"k--\")\n",
    "    plt.scatter(X[svm_reg.support_], y[svm_reg.support_], s=180, facecolors='#FFAAAA')\n",
    "    plt.plot(X, y, \"bo\")\n",
    "    plt.xlabel(r\"$x_1$\", fontsize=18)\n",
    "    plt.legend(loc=\"upper left\", fontsize=18)\n",
    "    plt.axis(axes)\n",
    "\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(9, 4), sharey=True)\n",
    "plt.sca(axes[0])\n",
    "plot_svm_regression(svm_reg1, X, y, [0, 2, 3, 11])\n",
    "plt.title(r\"$\\epsilon = {}$\".format(svm_reg1.epsilon), fontsize=18)\n",
    "plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
    "#plt.plot([eps_x1, eps_x1], [eps_y_pred, eps_y_pred - svm_reg1.epsilon], \"k-\", linewidth=2)\n",
    "plt.annotate(\n",
    "        '', xy=(eps_x1, eps_y_pred), xycoords='data',\n",
    "        xytext=(eps_x1, eps_y_pred - svm_reg1.epsilon),\n",
    "        textcoords='data', arrowprops={'arrowstyle': '<->', 'linewidth': 1.5}\n",
    "    )\n",
    "plt.text(0.91, 5.6, r\"$\\epsilon$\", fontsize=20)\n",
    "plt.sca(axes[1])\n",
    "plot_svm_regression(svm_reg2, X, y, [0, 2, 3, 11])\n",
    "plt.title(r\"$\\epsilon = {}$\".format(svm_reg2.epsilon), fontsize=18)\n",
    "save_fig(\"svm_regression_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "m = 100\n",
    "X = 2 * np.random.rand(m, 1) - 1\n",
    "y = (0.2 + 0.1 * X + 0.5 * X**2 + np.random.randn(m, 1)/10).ravel()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**: to be future-proof, we set `gamma=\"scale\"`, as this will be the default value in Scikit-Learn 0.22."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVR(C=100, degree=2, kernel='poly')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVR\n",
    "\n",
    "svm_poly_reg = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1, gamma=\"scale\")\n",
    "svm_poly_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVR(C=0.01, degree=2, kernel='poly')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVR\n",
    "\n",
    "svm_poly_reg1 = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1, gamma=\"scale\")\n",
    "svm_poly_reg2 = SVR(kernel=\"poly\", degree=2, C=0.01, epsilon=0.1, gamma=\"scale\")\n",
    "svm_poly_reg1.fit(X, y)\n",
    "svm_poly_reg2.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure svm_with_polynomial_kernel_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(9, 4), sharey=True)\n",
    "plt.sca(axes[0])\n",
    "plot_svm_regression(svm_poly_reg1, X, y, [-1, 1, 0, 1])\n",
    "plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg1.degree, svm_poly_reg1.C, svm_poly_reg1.epsilon), fontsize=18)\n",
    "plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
    "plt.sca(axes[1])\n",
    "plot_svm_regression(svm_poly_reg2, X, y, [-1, 1, 0, 1])\n",
    "plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg2.degree, svm_poly_reg2.C, svm_poly_reg2.epsilon), fontsize=18)\n",
    "save_fig(\"svm_with_polynomial_kernel_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Under the hood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = datasets.load_iris()\n",
    "X = iris[\"data\"][:, (2, 3)]  # petal length, petal width\n",
    "y = (iris[\"target\"] == 2).astype(np.float64)  # Iris virginica"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure iris_3D_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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cSNgWQTY0NMBisaC1tfWG1b0UkQGJeMxmM4CMaHZlZeW2r7m0tASv14v9+/cLlnor9hzdqBkLhmGg0+mg0+nQ0dGBdDpNVX5mZ2eRTCah1+sRj8eRSCSuuGjBlbqPfISZTCZx5swZjI+Pi4Qp4obCtghSr9cDAKxWK03HibhxQfoCQ6EQr61XOUin0zh9+jRqampw4MCBHZsEr8VkeiUiWolEgsrKSlRWVqKrqwvpdBo+nw8ulwuzs7NZogVVVVXXRLRgJ0AIM5VKQSqVUo9Qbvo+V3hdJEwR1wu2/a0jUl4ibkyQCSuVStHJLBwOb4sQNjc3EQ6HMTw8TJvwdwI388QpkUiooPrY2BgkEgm8Xi+8Xi/W1tYAIEvlh9sWsxVcq0ic61RCxpFLmLnC6zfz5y7i+saNuSwVsSMo1NtYrhIO93oGgwGhUAhqtXpHyfHlBEIiXNGCZDJJRQuWl5chlUqzCPNGFC0A+AkzHo9T4XXiVEIizHILxkSI2A5EgnwZolRv41ZSiuFwGFNTU2hoaMDAwABefPHFnRzyyx4ymQx1dXWoq6sDkKkK9nq9cDgcWFpagkwmyxItKEWY1+tebjHCJM8qNyUrEqaIKwmRIF9mENLbWG4Eabfbsby8jJGRESoEfjPheqyqVSgUaGhoQENDAwAgFotRl5JAIAClUkkJU6vV5n3O1ytB5oJLmKJ5tIirDZEgX0YgUWMpuTihhJBKpajP4sGDB6945WUwGITFYkFVVdWO7MPdTFAqlWhqaqLKRES0wGQyIRgMQq1WU8K8UduyuNJ3gEiYIq48RIJ8GaBcuTghEWQwGMTU1BRaW1uLmhrvFMxmM0wmE1pbW+F0OrG8vAyZTIZYLAafzycorfhygkqlgkqlQktLS5ZowerqKt0jjsViCIfDN2yLFh9hsiyLxcVFaDQa1NXV0T1MbtGPCBFCIRLkTY50Oo1EIlGWXFypCNJisWBtbQ2jo6NXvIKZ+EQCwMTEBNLpNJqbmwFk0opnz56lacWd0EK91rgSqVw+0QIiWLC0tIRoNAqtVkvvndB+VaG4Wulp7vNNyJBlWcRisbyiH5EwRQiBSJA3Kbi+jQDKmggKRZBcsjp48OAV780jUWp7ezud2EkqDcikFeVyOYaGhni1ULmT/nak3a72HuSVJnZCmCqVCrt370Y6naYqPyRlrtfr6b1TKBTbej2WZa8qEXG3EHJFC3IJk8jiSaVSyGSyG3JRJeLKQSTImxB8vY3lgGGYPIIkpsadnZ1obW0VPI6tTjjxeByTk5MYGxuDTqcTNOZcLdRQKAS3250l7VZTU7Mjk/6NDu5nI5FIaD9zZ2cn0uk0/H4/PB4PLBYLUqkUKisrqWhBuXvNV7sgKJ1O8xIyH2ES82gC0dpLBBciQd5kSKfTsNlsqKmp2XIJPElNAZlJZH19HRaLBbt374ZWqxV0DRJ1lfv6qVQKs7OzSKVS24pSGYaBVquFVqvNknZzu9100r8ZlGq2imIRsUQiQVVVFaqqqtDd3Y1UKgWfz0eLfrgqP5WVlSXv3dUmSKERq0iYIkrh5TUr3MTgFuIsLCzg1ltv3fK1CEESU2OFQpFnaizkGoVW8oXATan6/f4dJS2utBuZ9L1eL03JMgyDqqoq1NTUQK/X5xk434wQ+r6IBCERfiCiBaToh2EYutDgqy6+FhHkVkX2RcIUwYVIkDcBturbWAgMwyAWi+H06dPo6enhNTUWco1y9u2sViuMRiNNqZpMprJfsxzkKtUkEgnexvuamhpBKd6dwtXa69wOaeWKFpB7R6qLpVIp3b/U6/XXTYq1XBQiTK55tEiYNzdEgrzBQQpxSvU2CgVJqYZCIbziFa/Ycs9cOb2Uc3Nz206pbhdyuRz19fXUjisWi8HtdsNsNiMQCCAWi8FsNtM+wis5Ed5ok2zuvYvH4/B4PLDb7TAYDJDJZIjH4/D7/dDpdFf8/V1ppxKueXQ6ncapU6cwPDyc5VIiEubNAZEgb1CU29soBMTUWK1WQ6vVbquhnLuPWQihUAiTk5Noa2tDW1vbdaX2olQq0dzcjObmZrAsi1OnTgEAVlZWEA6HaYVsTU3NjrdFXA1cyXurUCjQ2NiIxsZGAIDX68Xi4iLMZjOCweAVb8fZqQiyFLhOJXK5nP5/IpGg74mIFojWXjcmRIK8ASGkt7HcCdDtdmNubg79/f2ora3FyZMntzXGUhGkzWbD6upqwV7Kcop8rjSRkgUIIXKu+TG3LaKmpgZVVVU3RIXs1WxbUSgUUKlUGB4e5m3H0Wg0We04O5EFudpFQdy2Em6EScyjSeEQNyUrEub1D5EgbyDk9jYWIsdyyWV5eRlut5uaGpN+se2Ar1UEuCxPl0gkiqZUhU4cW62W3Q4YJt/82O/305RsOp1GZWUlampqBFV5XitcrXvG/XwKteN4vV4sLy8jHA5Dp9PRKtmt9K9erQiSi0Lfw9w9TEKY5O+iefT1jevzmysiD7kp1WJfJKEVpNFoFFNTU6iqqsLExETWJLZd8EWQJKUqRJ7uehQILwRuWwSQqfL0+Xxwu91ZVZ7XkzXV1VxUFHstbjtObnTO7V8l90+pVG7r9a4l+AgzmUzmmUeLhHn9QCTIGwCFfBsLQYiW6ubmJgwGAwYHB2kl504il+DsdjtWVlYEy9MJJcjrkUhlMllWhSzXmmpxcREKhYLuX+Y6bVxv72UnUA5h8UXngUAAHo8Hs7OzSCaTWSo/fKIFVzuC3OpnxkeYuebRucLrImFeXYgEeR2Dm1ItpxCnGEGm02ksLi4iEAjgwIEDglbkWwEhrnQ6TffpJiYmBKuw3MgEmYtca6poNMrrtFFTU3PVop/rJYIsBW7/aldXF1KpFFX5MZvNvIIP12sEWQoMk++FmUuYuTqyN+L7vJEgEuR1iu30NhaqIOWaGu/fv/+KfrkkEgnC4TBmZmbQ3NyMoaGhsl/veie+raKioiKrQpY4bZA9uLm5OUqYV2oBc6MQZC64PZYAeAUfyAKkqqrqqliiXan7yEeY8Xgcs7OzaG1thVqtpoRJdGRFwtxZiAR5HaLclGou+ApkrrapcSQSwcLCAsbHx1FZWVn2+YUiw9x7cSNEkMXAMNlOG6dOnUJrayu8Xi9mZ2eRSCSoDmqhlOL1jitJxnyCD2fOnIHb7cbKygqkUmmWLN5Op16vtoi9VCpFNBqlbSXxeByxWIzOE3K5nKZkRcLcPkSCvI6wU72N3BRrKpXCwsICYrHYVTE1TqfTWFhYQDgcxvDw8JbIEbi5UqzlgGEY6PV6VFZWUuFwooO6vr6epYO6nQjpakeQV2tPkERUfX19APL3f+VyOV1s7ISH6LVI56ZSKZpeFc2jryxEgrxOQNInL7zwAg4dOrStLx0hSG7V6FZSnOUiHA5jcnISTU1NqK+v31Z662Yjvq1CIpFkpRSJDio3QuLKugmdBG/UFGu5yN3/jcVi8Hg81ENUqVTS+5dbMCUE16KlJJ1O5323yLhFwtxZiAR5HSC31Hu7kEgk2NjYgNPpvCqmxgCwsbGBpaUlmsJdWFjYFsG9XCNIoPgzkKuDmivrtt0J/0rgeiqaUSqVaGpqovrCRLQgt2BKqKTgtSBIIfeTjzDJIpxLmKJ5dHGIBHkNwdfbuBUXDC6SySRcLhcqKiquirYpSalGIpGsFG4hoQCh4CO+RCKBtbU1aLVaml682Qiy3PeSK+uWO+EXUql5uUSQpaBSqaBSqdDS0pJVMJUrKVhdXY2Kioq893EtCBIofyHN11KSax4tEmY+RIK8RigkFyekh7EQAoEApqamoFKp0NXVtW1yLDWxcatiBwcHs47dLnHlnu/3+zE1NYXGxsas9CIRwVYoFOIXGvkTfigUgsfjwdLSEqLRKG26vxZSbNc7cgumuPdvcXER0Wg0jzCvFUFuF0IIk8jiSaVSWiX7coNIkFcZuXJxuV+urRBkrqmxzWbbVvTGHUehfURS9FCoKnYnCdJsNmN9fR3j4+O0eg/IpBcvXryIjY0NGI1GVFRUoKam5qo4blwp7OSYuSo17e3tWU33DoeDthGRCf9KZRu26s94rcF3/3I1eFUqFU1b3ggavIXAR5jECzMUCiEYDKKlpeVlZ+0lEuRVBGn8TaVSBUuwpVJpWeSWSCQwMzMDuVxOTY23E4USFCK4dDoNg8GAUCiEiYmJgpPCThBkMpnE1NQUWJbFxMQEjRgJiAh2T08PVCoVIpEIjS6JpichzCvVT3gjgdt0r9Vq4fV6UVNTQ1OyALJaInaqh/Bqp3OvFCQSCfR6PfR6Pa0wttlssFqtmJ6eRiqVoi05VVVVN2RLDgF3fkokEgiHw1nm0T/96U/R2dmJN77xjddymFccIkFeJQjtbZRIJEilUoKu6fP5MDMzk2dqvBMEyXeNSCSCyclJNDQ0YGBgoOikt90xJJNJzMzMoLOzk1phkckvd8Il/yYi2CQ9FggE4Ha7qURZruLKyx0SiQQ1NTWoqakBkG98TEyjt9sScbPud0okEmg0GlRWVqK/vx+pVIq25JhMpqyWnJ0Srb8W++2pVCpvT9JsNm/JSP1GgzhLXGGU29sohFhYloXRaMTGxgb27NmT59t4JSJIklIdHh6mLQflnF8O7HY73G43BgcH0dramnXN3OsWmgxJP6Fer6cSZURAnCiuEHLYiX64Gw18RMJnGs1tidiqj+PNSpBAdpGOVCrNWnBwW3JyRev1ev2WIvRrseeZSqXyyD0YDEKr1V7VcVwLiAR5BbEVubhS5EZMjTUaDQ4ePMj7ZdluBSl3HES7NRgMFk2p8o2hXIIk6dtwOIzGxkZBhs1CXyd38iLtETabDQsLC3Tyr6mpuWH3L3ca3JYIPh9HbsFKMVuqq0laV5tAir1ebksOidA3NzextLQEmUyGqqqqshZpRCTgaoLvNcnnf7NDJMgrBBI1lisXV4wgialxX18fbXwudA2hadpCIJqWk5OTqK+vx759+8qa5MolyGg0iosXL6K+vh4DAwOYn58XfO5WIlW+9giy0g+FQrTa80rqoV5LlEta3BQ28XHMtaXiumxwF1JXU0nnWkaQ3DEU+tHpdNBoNGhtbUU0GoXX68Xi4iL8fj/kcjndI9ZoNHnXInuALpcLZrM572+5r8U9n3hQFhpf7vmpVApqtRq7d+9GKpXK+w6QFpibHSJB7jC2KxfHR5Asm29qXOoapEp2q4jH45iensbo6KiglCrfGIRGsU6nEwsLCxgaGqIRHiCM+HZqMlSpVGhtbc2a/Ln7l9FoFJubm1e02vNqYrtEwjCXbana29upy4bL5cLa2hq1paqqqkIgEIBCoUAwGCw4KZMxlZr0S/2e9MoqlcqS50WjUSgUiqKExiWYQCAAnU6X9Xu3241EIoH5+fms5zUSiSASiWQ9z8XgdrsRCoWgVqsRCoUQiUSgUChoFS3pwYxGo9jY2MD6+jqi0Sg6OjpKzjEMw8BqtcLn82F4eDhL2Jzbf839t81mg9frRW9vL92D5EKMIEWUjUK9jeUgl1i4psYHDhwQRLjb2YNMp9NYWlpCOBzG+Pj4lsgREJbm5RJ/rvVWIUcSvtfZ6cIF7uTf2dmJVCqFU6dOwe/3Y21tDcDlak+dTkffazmTOXn/uX/f3NyExWIRdA1SDV1oUueel0sGLpcLsVgMNpst77xwOAwABcmDe910Og2n04m6urqsZzOVSmF9fR3BYBBer5eaSodCIVpZXArhcBhmsxmdnZ2CovilpSWk02lUVFRQUYRCRBCLxTA1NYWuri40NTXRsfORBSGY9fV17N27l37mDMNQe63m5uYs+6nJyUmkUin09PRAoVAUvC75/F566SVUV1djYmKCjiUajcLn88Hv9yMcDkOj0UCtVqO+vh5utxt1dXXYt29fweuSsUSjUZw4cQL79u3Dnj17St7HeDyOEydOoKOjAxqNhrfdSyRIEYLBspm9RofDkTdRlAupVErTo1s1Nd4qQZKUam1tLerq6q6olirZS9VqtQWJv9D5qVQKZrMZ4XAYq6ur8Hg80Gg0vJN5KBRCRUUFb5RC7hHZa/V6vaisrOQlBIPBgF27dtH79OKLL0KhUFBnhdyVPvd92mw2tLa2low8o9EonnvuOcRisZJZgng8jrm5OXR1ddHG/0JkkE6n6efa3d0NhmHoM8Y3cS8vL1P/zkKTL/k9iRabmppQVVXFG5FYrVbIZDLE43G8+OKLCAaDaGxszNp/47v2mTNnoFQqceTIESoEUYgI3G43AKCtrQ0SiQQjIyNF79/Zs2cxOjqKY8eOlbzXsVgMTqcThw4dwv79+7P+ZjabIZFI0NLSQn+3sbEBtVqNAwcOoLOzs+i1AWBxcREqlQq33HJLXsRJitTIs2yz2XDx4kW43W60trZSW69ie8BE9rG/v7/kWIDMQiOZTGJwcBAAeCPIYDAInU4n6Ho3MkSC3CZYNtPbGIvFYDQai+4NCgHZP1xYWNiyqfFWinRy05yzs7PbisyKEaTX68XMzEzRvdRC57MsixdffBF2ux1VVVXY3NykezO5k2YkEsH09DS6urrQ0tJSMJ0kkUjgcDhgsVjoviP3b0BGpai3txcMw2BpaQlqtRr79+9HZWUlYrEY/H4/fD4fotFolrzb4uIiqqursXv3blr8U+jn/PnzaGtrw7Fjx0oee+HCBSiVSnpsMczNzSEajeLw4cNU1MFmsyGZTKK9vT3rWIvFAofDgdHR0by/5SIcDmNlZQX79+8vGpmkUiloNBosLy9j9+7dOH78ONLpNNxuNxUtUKlUWSIPdrsdsVgMu3fvLmnPxrIs5ubmoFKp0NnZCbPZXPR4p9MJh8OB/v7+kuQIAAaDAel0mhIGF7nRFTEI12q16OjoKHntaDSKlZUVNDU1FU3HMkxGtEChUCAWi+GOO+5Ae3t71h4w2Tfn9v16vV5YrVb09PQIKnoLBoNYW1tDe3s7JUA+gozH4zfl3nwuRILcBri9jTKZbNuVo0CmuMdisaCtrW3LpsblRJAsy2JpaQk+ny+LjLdbCctHcCzLwmQywWazYe/evUW/sIUI0mg0IhAI4OjRo2hqaoLBYEBDQwPvJPrSSy9hbGwMx48fL1p9G4/H4XQ6ceDAAdxyyy28xwSDQfT398Pn82FpaQmHDh3ijVLI/iUxQJ6dncXw8DDUanXR5vGNjQ2Ew2H09vaWzBY4nU5sbGygr6+v5KQXCARgNBrR3t5ekmiSySTm5+dRWVmJtra2oscCGeJlGIaXOLhgWRYbGxvweDwYGRmh94BrGs0VeQgEAlhYWEBNTQ1tOSmGtbU1BINB7Nu3D0C+OhUX6XQac3NzUKvV6O7uLnltn88Hs9mM7u5uWjiTez0ueRiNRoTDYUxMTAj67pLobmBgoOSx5HilUom+vj7I5XLodDp0dHRkqSSRfXO9Xo/V1VVIJBL09vYKvr5UKqV2YQA/QbLs1Su8upYQCXIL4CvE4abstgqy+d7Q0ICenp4tX0fo/h3Z36yurs4j4+3u7eWSdDKZxPT0NORyOVXFKQa+149EIpQQSZNyoXGazWZ4PB6Mjo6WbE2Zn59HMpnE8PBw0eNYlsXMzAwUCkXBdBXZv9RoNFhdXcX4+DjGxsbg9Xqz1GpqamqogW8qlcLs7CyNEIohnU5jZmYGarVa0DMyOzsLmUyWN16WzS/SWVxcRDweF7Qw29zcFByFJRIJLC0tob6+njcq5VbItrW1wWAwwGazoaenBwsLC4jH41kKNdx7FI/Hsbi4iNraWjQ2NsLn8xUdOxFxJ3t3pTA3NweFQkHT67ngVrHGYjH6PklrRzGQHtPe3l5B0R1x6Onu7s5baHFVkkjf79LSEmw2GxoaGnD+/PmSQhkulwsOhwN9fX1Z0WEuQe70nv/1DJEgywTZb8wtxNlORSDX1Li3t3fbFahCIkiSUi20v7ldsQEucRERdZLqLPd8gpmZGQDA0NBQ1u9zj4vH45ifn0d1dXXJSMjtdsNisaCnp6fknsr6+jp8Ph92795dUkZseXkZ4XAYBw8ezHO85xr4KhQK2kx+2223YWVlpeh1iYyekIItq9UKt9uNkZGRPOLNvWck0mxraysZaabTaczOzgqOwkwmE+LxOIaHh0t+T0jatre3F2NjY/T1/H4/3G43zGYz0uk0KisrUVNTA7PZjGQySZ+JYn2JuWRaClarlS6yCu0fc1/PYDAglUqVjKgJ5ufnoVAoBC10SOpWpVIJiu4ZhoHdbseuXbtw5MiRLJUfIpTBVfmRSCSYn59HRUVF3mfKF0GS17jZIRJkGSAi42T1vRMPCDE1bmlpwdDQEBwOB1XT3yqKkRtJqXq93qL7m9uNIMn5VqsVRqMRY2NjZW3q576+3W7HxsYGdu3albXa5vsMFhYWkEgkMDIyUvQzItFYRUVFwQiBIB6P07QfV92HD6FQCMvLy2hubs5bfOSq1TidTszNzUGpVGJpaQmxWAxWq5W3+T4SiWB5eRkNDQ0lU48kXarX6wvuJXLvDYk0haT6VldXBZN0KBSCyWRCX1+foMpVvrQtqYAlxJ1MJuHz+WAymfDcc8+hpaUFm5ubSKVStLKXD4uLi1lkWgxk0arX64sSElko+/1+mM1mdHV1CarutFqt8Hq9GBsbE9Q2tLa2hnA4jJ6eHkEar+R4kuqVyWS8CzUiK+hyuWCz2XD48OG8+5e76LhRHUy2ApEgBYAvpboTIOTBNTW+UjqqQCYFNDk5SVtGipHHdsdBWhaIT2S5vYNcgiS6rDqdLm+1nUukJMoQEhGurq4iGAxi//79JVO+JpMJ1dXVJasjgQzZSCQSQZHEysoK6urqcOzYMSgUCpw8eRLJZJIWXpDUYnV1Nebm5gCgZCoYACXbvXv38n7O3D0km80Gt9uN4eHhkineaDSKpaUlQSQNXCY87p5WIZDimb6+vqJpWzLZE+nDw4cPIxQKYWNjAy6XCwzDQC6Xo6amhppG+/1+mEwmdHZ2ClqoraysIBqNYnx8vOj3hGVZSKVSzM3NQS6Xl1xoAdnkW2qxBWQWZ0tLS6itrUV1dXXJ+Yccz1XxyQV3oZZKpfDkk0/SgrkzZ85ALpfT5y7XjSUcDgtKCd8MEAmyBHaitzEXyWQSc3NzSKfTeeSxUyo4udGfy+XC/Pw8BgYGBO2PbIcgw+EwFhYWoFAoSk4whcB9D8SLb+/evQWFFIDyIsJIJEIn+lKVx263Gw6HA/v37y8ZHdjtdjidTgwODpbcm7PZbHC5XBgaGqKRvFQqRUdHBy28IKnFyclJzM7OYnR0lDaRFyL1QCCA1dVVtLW1lYzayLOo1+sFVV2ShnghUZjD4cDm5iY6OjqKtiEA2WlbISlHm81Gi36Ih2NDQwM2Nzfh9XqhUCjofqNarYbRaIREIhFEYJFIRFBlKZAhu83NTbrAEBLdra6uIhqNYvfu3YK+G6TtYmhoCE6ns+RiLrdNoxRWVlaQSqVw+PBh+n65OryRSAQXL15EVVUVNjY20NLSwluwdDNCJMgCII3YZD9wp8iR7Md1dHSgtbU175pSqXTbm+BcEiHN+B6PR5AKD8FWU6xkb62rq6tkwYSQ1/f7/VhdXUV7eztqamry9me51y8nIpydnQVQOhojpKtUKktWAiaTSczOzkKn06Grq6vksYSYCvXKkdSiXq/H+vo6RkdHMTo6muW2QVojSC8heW+l0qVkm2B5eRmxWAx79uwp+VmRNFxumpsPpFpUo9Ggrq6u5LXX1tYQCoWwf//+khFSKpUqmD5Op9NQKBRZFbKrq6vwer20WKWUjOD8/DzS6TT6+vqoXCTAL9EWCARgMBigUqlQVVUFv99fVBgiGo3i3LlzqKmpQTKZhN1uL3p8KBTC6dOn0dTUhM3NTaytrUGn08Hr9dJjuGMLhUI4e/YsGhsbsba2VnTsLJsxSF5bW8PAwEDWYoCrw0squK1WK/72b/8WCwsLAID/83/+D26//fY8Z5+HH34YjzzyCKampvCOd7wDjzzyCP3bk08+iY9+9KMwmUy45ZZb8MgjjxR8/hmGqQHwTwDuBOAE8Fcsy/7fog/HDkMkSB7kplSFTvKkNaJQ07vZbIbZbMbu3bsLRiI7EUESgiRqIZWVlYImntxrlEOQuaLmkUiEfom3AnIvp6amIJfLC0YshEjD4bDgiHBjYwMOhwMDAwMlIxuj0YhgMIju7u6SpFsO2ZRKgXJBCnMmJiZQV1dH3x/R5VxbW0MgEKDmvSaTCePj40in04hEIgUn9ng8juXlZVqw4nK5AORPpkDm8yXpX6VSmacFmjuxG41GrK6uYmxsDCaTCbFYrKCYQywWw5kzZ6DT6ai/It84yI/JZILZbMbw8DBOnjyZ9Ten04lkMknJIZVKYXJyElKpFC0tLQgEAtjY2EAgEIDf70cqlYJKpYJWq4VGo0EkEsHCwgKam5vx3HPPFf1cAOD06dNIpVIYHh7GCy+8UPJ4o9FIC6fOnTtX8vilpSUEAgFUV1djYWEBFouF+nlyQeappaUlBINBtLW1wW63F+2lZRgGKysrYBim4GKK3FeVSoXe3l48+uijOH/+PL75zW+CYRh8/vOfx8LCAv7n//yfuOeeewAALS0tePDBB/H4448jEonQazmdTtx999344Q9/iDe96U34/Oc/j3vuuQcvvfRSobf/dwDiABoB7AHw/xiGuciy7EzJG7dDEAkyB0J9G/lAiCmXiIipsUwmo6bGpa6xHUgkEjrpCE2p5qKcPshYLIaLFy+itraWippHo9FtF/msra3BarVidHQUwWAQiUQCBoMBUqkUVVVV0Ol0cLlciEQiOH/+PDweD13pAvwTbDKZxKlTp+hCZGlpiR6be04kEsHZs2dRVVWFVCqF6enpgpN2KBSiYuvLy8tYWloquHoPhUKYmppCXV0dNYQmP/Pz81lRSCwWw/T0NPR6fdGonhREnT17FolEAhaLhaYetVptXupvc3MTJpMJEokEcrkcJ0+eLPp5OBwOrK+vo6enh1YTF0I8Hqd7xi6XCyaTCeFwuKD8m9FohMfjQWtrK9xud9EJPRaLwWKxoLa2FpWVlQCQJfxAVJPIPqPZbIZCoaCawrnXS6fTCAaDlDCXlpagUqkwOjqKmpoaSKXSrEp17k8ikcDk5CRGR0fpQocrWcf9AQC/349gMIgDBw6gv7+/4HXJj9PpRCKRQH9/PxWpWFhYQGtrKyorK/PmJqfTiXQ6TY8vBb/fj0AggK6uroIpUz6ZuUgkgpaWFnz4wx/Ghz/84SwjZQC4++67AWT2MrmiDb/61a8wMjKCt73tbQCAhx56CHV1dZifn89LBzMMowHwPwCMsiwbBPAHhmF+A+BPAXy25JvbIYgEeQnclOpWC3H4yI2YGnd3d6O5uXlL1ygHZPUeiURw9OhRwSlVvnEIaTchDiO5RFxuBJoLIqUWCASg0WgwOzsLo9GI2tpaMAyDUChEXc6JUHZXV1dJFxCz2YyNjQ0MDAxQcswFmXhWVlbg9/vR1NQEk8mEjY0N3omPYRjMzc0hmUyisbGRPkPcH+7Eubi4CLVajcHBQarTSX6qq6vR0NBA/z03N4e6ujocOHCAEgx3jNxzV1dXMTAwgH379kGv1yMcDsPr9VLCraysRFVVFSorKzE7O0ujUpLiKjRhx+NxvPDCC+js7KTFXYV+gIwOqVwux7Fjx+hnV2gS9nq9SCQSOHLkiKA9s3PnzmFwcBDHjh3jjf4tFgsAULcMh8OBQ4cOURGBYiBk2tXVBaVSCa/XC6lUStOxuZZURCrxyJEjlKyLYXFxETU1Ndi7d2/JojWSGtbr9ejv7896XblcnkeOZHGlUqkEtd4AmVSyTCYrui/LZ3WV6wUpkUgEFe3MzMxgfHyc/luj0aC3txczMzN8n30/gBTLsgbO7y4COF7yhXYQIkFia76NfODqqLIsi7W1Ndjtdl5T40LYDkHG43FMTk5Cr9dDrVZvmRyB0nuQ5Au8ubnJu7dZTgTKh6WlJUgkEtx1110Ih8MwmUz4H//jf9DXIeNbXl7G2bNnqbA46Y8jlkvcyTsUCiGZTGL//v20QCKXFAg2NzfBsixdjZ8+fRoTExO8Y7VYLAiFQhgZGSlZ6GKxWOB0OgseG4vFaP8fifL27t1bMiIIBoNYWFjAvn37sHv37ry/E/Nej8eD9fV1WkW5a9cuGp0WwtTUFBQKBQ4cOFCySInbbE6OJdmYXLAsW7IRP/faREGoUGo8nU5T8iEFRUKIN5lMYmFhAbW1tRgdHaW/z/UNVSqVqK6uhlQqxfr6OhobGwW1dZCiomI9lVwQoXdSmMZ9f3yLd7PZjEAggD179gha3G9ubsLlcmFwcLBoYRGfWfJWra6CwWBe5XNlZSUCgQDf4VoAvpzf+QBcVQHYlz1BptNprK6uoqGhgXdlVg5I2o4IcavV6oKmxsWusRViIZFcf38/6uvr4XQ6y76G0HEkEgn6/rjuA1xstcgHuKzS0t3djUQigWQyiTvvvBNyuTyrohjIRCuVlZV43eteR79sxNcxnU7TUvWqqipcuHABFRUVJSepVCqFmZkZaDSakqtxYnVUWVlZUru0nGNJVaeQMQCgKfxCe0m55r0qlQqDg4OwWq1YWFiASqWikRI3UvV4PFRqrdSkSAivoqIiqxK1EEGW0wvIsixmZ2dLRkjktdxuN2w2m2CVGiLQnitGzucb6vF48Mwzz9DKVbvdTvtW+d4nafLX6XSCmvzJVkJ1dTVVjOJeKzflSdqCqqqqBGWpSLSpVqtLiqkXMkveShWrVquF3+/P+p3f7y/UdhMEoM/5nR4AL5teKbxsCZJbiLOxsSGo0q4UpFIpvF4v1tbWSpoaF0K5BFkqktsqChGcz+fD9PQ0ent78768Qs4vBbLXJ5fLIZFIoFAo8qrkCPx+P9bX19He3k7bGYjcVnd3N5LJJDweD5xOJ1588UUYjUYcOHAA8Xi86GJoZWWF9m+WWtwYDAbE4/GSfaXAZSk3IccSJZ5CCxAuuH2MpQSkuSIG3d3dqK+vp0VOHo8HS0tLiEaj0Ol0qKqqgsFggFKpFBThmUwmBAIB7N27N0+aLPc9ECGDqqoqQb2ApGUj99q5IIsnIr4gZC8uFAphdXUVra2tJVWEVCoVvF4vqqurceutt8Jms1GLOHLfcgXDSU+l0LaOlZUVJBIJ3siXj7BWVlYQj8cFpZGBy9GpELk9vggyN8UqFCMjI/jRj35E/02exQK9xQYAMoZh+liWXbz0u3EAV61AB3iZEmRuSpWbGt3ONQOBAAKBAPbt21eyOrIQyiFIrmWUkIl0O+NgWRbr6+uwWCzYs2dPyRXkVglyeXkZDocDFRUVqKurK9gTx7IZXVS5XF5wEpTJZKivr0dlZSVMJhNGR0fR1tYGo9FI/exqamqyyv3Jl7alpaWkaDhRcyGp3VLHrq2toaOjo+Sx4XAYy8vLaGpqKllgRdpFiGh1KczNzUEikWS1oTAMQwt62traqPD17Owspqam0NPTg9XVVdTU1KCqqoqXoOLxOAwGA2pqavIWTnwR5NLSkmDd12LXzkU6nYbdboff78f4+Lggy7b5+XlIJBJBdlDcaLCjowMOhwPt7e1ob2/nFQyvqKjA/Pw8Ojs7BVnWEQu3lpYWXrLOJUjSs9nc3CxIqYhEm9XV1YLk9vgIORwOF/0cSOBBlI2i0ShkMhne8pa34IEHHsBjjz2GN7zhDfjrv/5r7N69m3chwLJsiGGYXwH4a4ZhPoBMFetdAF5RctA7iJcdQSaTybzexu0SJFGoYRim6P6IEAgtbiFfwq1GqqXAJTjS38cwTMkqXIKtFOkEAgG88MILkEqlOHz4MG+REJlM19fX4fV60dfXVzI9R6TnDh48SNVLWDbjuuF2u+lkVlVVhbW1NTCMMIcKIlxeSiWGpAflcrmgSZiozwhpxi+ntYQ07pM0bKHjSdFFKBTCgQMHMDExQfcviTtEbuGKwWAoKPieS5DBYFCw7itwWSJOiIJQIpGghCFE95e7Zyok+1IsGuQTDH/xxRcRCoUQj8dpRTTRP+X7Hs3Pz4Mp0XbBJSyDIVPDItQNpFh0yodCZsnFFshf/vKX8cUvfpH++1/+5V/whS98AQ899BAee+wx/Pmf/zne9a534ZZbbsHPfvYzehzDMJ8DcJRl2ddd+tVHAPx/ABwAXAA+fDVbPICXEUEW622USqVbLighot8DAwNwu93bqtwUAlKl6nA4thWplgKJIIPBIKamptDe3i5o/4Sg3CKdZDKJf/u3f0MikcA999wDv9+PeDzOe91YLEZ1UZuamorecyI9193dTeX8yHV0Oh0t7iHyX2tra2hoaMDs7GwWCeSiHOFys9lM99pKHet2u5FOpzEwMFBywg4GgzQ1WErxhdu439XVhdXV1aKEuri4iEQigeHhYUil0iwdT1K4YrVaEQgEkEwmaaqML/WWS5AkihWyWChXIs5oNArWW+XuawpR74lGo1QLV0g0SNpHDh06hMHBwTz9U5lMRtOxpPmf6A0LIWvi9djb2ytoHiDRZqHolA/JZJKXIIulWB966CE89NBDvH+74447Claasyz71Zx/uwH8kaCBXiG8LAiylFzcVprzSWM819TY5/NtO1VbDCSlqtFodjylmguGYRAMBmmfF5dchJ4vdLEQDAbx5JNPAgDuvPNOqFQqBAIB3vNJgUEqlcLIyAh8vtxCt+xjZ2dnBe2hsSwLu92OoaEhHD58mJIAqQ7kiohLpVLBwuWJRAILCwuorq4ueWwqlYLRaMTQ0FBJJR4go5gjlUoFRQ9csYFSz43f76fpYL7PnVu4wrIsTpw4QSuGT506BZ1ORyuJlUplVlGVw+GgUnxCDHeJxqkQLddQKASLxYLBwUFBbRfcfU0h3yWDwSC4KhbIRIPcLYBcoXqunJvf74fBYIBCoUBDQ0PBwibu78pxAwFAFXCELEwI+CLIre5B3oi4qQmS29sIFDZSLTfFGolEMDk5ifr6+qw9lJ1o8i8Er9eLmZmZK5ZS5SKdTlM3gFe84hWC9CVzIZQg7XY7/eL29vbSfbRC5zudTlitVuzatYtWxRW658Rced++fSXTsIuLi4jFYlTogCu1xbJsloj4zMwMwuEwXvWqVyGZTBa9NknvCrF6Ium7kZGRkhO23W7P03EtBOIC0tjYSPc0C03AAMpKBxOtzle84hVob2+ne/Hc1HUsFoPL5UJVVRWNYktVTwKXi4+4JsvFQMTcd+3axavuw/3/eDxOPTirqqqyFIfIMdzzfD4fDAYDOjs7kUgk4PF4wLIZKUSiQMQ9b2NjAysrK3mZJb4x6XQ6BAIBRKNR1NTU4NSpUzSNqdfrodfroVQqwbIZNa7q6mo4HA7Mzc2hr6+PWqTxvWfyX7/fD6vVirGxsbKyTjvZ5nEj4qYlSJZlkUgkqP1NscmpHILc2NjA0tIShoeH8zbFd6LYJxfbSakWmwQLgZA/8YjbCjkCpfcgSQQeCoWg0+kQCoUwNjaW1ZeYez7RRSWyVwR8rxONRrG4uIj6+vqCxQjkPK/Xi5WVFbS3t0Or1dIFFXeySaVSaGhogEwmQ0VFBdra2hAKhfDiiy+CYRhqx0TcI8ikOjc3h/b2diSTybyJlDuBhcNhnD17FjKZDPF4HDabjVeJB8ikvU6ePAmZTEarmLnvJ/fas7OzcLvdaG5upouRtbU1OJ1OVFZWZh3vcDgwPz+PXbt2YW5uriBhkMXn2bNnoVAoUFtbC5vNlndsKpXC3NwcbDYbVlZW4HA4MDIyQpV1yHOSe/1UKoWpqSlIpVLI5XIavRV6nz6fD4uLi5BIJHjuuedKtnasr6/D4XBgaGgITz/9dNFjgUy0FovFUFFRQVuoSPVq7lYAeU7JnuTGxkbRa6fTaVq5zTAMkskkFAoF/H4/bDYbVZFSq9UIBAJgGAYGgwESiQTBYBDLy8u8/bzc/87Pz6O1tbVsI/ZUKpW3ACuVYr2ZcFMSZLlycUKIjVSvRaNRTExM8NoC7YSOKhek31ClUpWdUiXRrJCCGoLNzU0YDAbqSrC8vLyVYVMUIkhS1FRTU4POzk786le/gkajwdTUFD2PmLtubGzQ65jNZhiNRuzatQvPPfccWJaF2+1GMpnMioxYNuN56fP5MDw8jMcffzxvcuWOkZhVp9NpqsSSC4PBQAmPTGChUAhAhrB+/vOfZ5WwKxQKqFQqNDY24rWvfS0OHz5c9PMjmpsKhQIXLlwoel8tFgvsdjsGBgbwpS99Cb/85S/x85//nPdYv9+PxcVFtLS0wGKxgGEY/OIXv8Avf/lLPPLII/D7/fQ7kttiQ6yjAH6VHSIhR1pq+IQXZDIZFQ/f2NhAMBjE17/+dWxubkKhUOC73/0uKisrodfrKWGSa1dUVGBsbAxVVVUFCYDsdZ8/fx7d3d2orKxER0cHJUg+wvj973+Pl156CX/yJ3+CwcHBrL//3d/9Hf7u7/6OFssAmUWDx+PB0NBQlsFAOp1GRUUF9uzZk3V9kn3Zt29fVvtYofewvLwMo9GIv/qrv8Kjjz6K2267Le8YEgXOzMzA4/FAqVTi0KFD6O3tRVVVVdEsht1up/6o5drO8ZkliwR5gyK3EEcooZQq0iHamU1NTRgaGipa/SdEnk0ISJXqrl27BJVj841FKEESQuGaKIdCoW0VHBW6R+R9EfeA5557DhUVFejs7KRfXobJaGpWVFRArVaDYRhEIhG43W50dHSgs7OTamSSz5wrz+bxeCCRSLB3794sGbXciQrITB56vR5DQ0O0dJ2PDFKpFKqqqlBfX4+xsTH6euQ4k8kEAPjud7+L6upqLC0t4cKFC7BYLHj44Yfx4osv4p/+6Z+yXDfItTc3NxEKhXDs2DHqulJoUg2Hw3jhhRcwPj6O8fFxTExM4AMf+AA1xs2dVP/whz+gqakJR48epd+HsbExvOENb8Dtt9+eVayxsLCAdDqNQ4cOlWwZCAaDCAaDGB0d5VXu4YJkImpqavCLX/wCb3/72/He974XSqUSQ0NDcLvd8Hg8dOJVq9VgWRaHDh3C3r17i14byLi4VFdXY//+/XA4HOjp6SkaQT755JM4c+YM/vEf/zFvofvnf/7neMtb3kIrYIlzSEdHR16lcCKRQE1NTVbBTiwWw+bmJrq7uwX1YEajUVitVgSDQQDAwYMHC6bMKysroVQqoVKpcOjQIezatQsejwdGoxEMw9CCH5L9ATIkvrCwAK1WW1Kcgg+FCLIc8/MbGTcNQeb2NpaTWixGbMTUeGRkpOTG/071UxL3+r17927ZmFTofmghE+Wd3k9l2YwLg81mo6ni5eVlBINB3HnnnXmLACLvRUr7T548if7+ftx6662QyWR0ArDb7YjFYpQIU6kUnnvuOQwNDeHIkSNFF0nxeJwaVt9yyy1Fx0+aq4eGhngnbUI0R48eRVtbG5599lkcOXIEExMT+PnPf4777rsPX/jCF/Cxj32MVseS9OaFCxfQ2NiIsbExKptXCFNTU1Aqldi9ezfVDS1U0EPEBg4cOJB1H1pbW6mcHQG3IlZIPx0xhRZSIEQqkslC453vfCcOHz6cNR5u681zzz1H99pIz151dTVv9MM1B25oaIDdbi/6mTscDsRiMRrZ5oKMhaBYWwef7JvBYEAqlRJURQtkFiUsy1JSLXbv0+k0zGYz1Go1hoeHodPpKDmTfVFiN0cWJH6/H6FQiC6gygUfQSYSCUEFVjcDrlwZ5FUEKQTYqpYqH7GRdNPm5iYOHjwoqCpuuynWRCKBCxcugGXZbZEjGUupCNDj8eDMmTPo6upCX19f1n0rpwq1FJLJJCYnJxEMBnHw4EGoVCqEw2EsLi5myXhxwX19q9UKp9OJ/v5+Xs1XLpaXlxGJRAQVuszPzyOZTBZS8siC0WhEOp0W1Iu3sLBA+/YkEgne8Y534A1veAN++9vfor+/H3q9Hg6HAz//+c/xqle9Cvfccw/uvvtuvOY1r8Hk5GTe9aampvDOd74THR0deN3rXodPf/rTePjhhwEAX/3qV/MqTRcXF3HPPffg+PHjeNe73oXjx4/j3e9+N5LJJD0nV81ndnYWk5OT+OQnP4mGhga0tbXhHe94BxYXF+kx5LVOnjyJBx54AH/6p3+Kffv24etf/3rBxRTZI/3+97+Pe++9FwDwpje9CXq9Hvfddx/uu+8+qn3KMAwl0l/84hf4yle+gvr6evj9fnzyk5+EXq/H008/jbvuugvNzc0YGRnBZz/7WcTjcUpIpE+Q3LPOzk40NDRg3759+OY3v4kPfehDOHHiBBwOBy2A4Wqvcu9nNBrFysoKjEYj3v72t+fdFy5BkvNOnz6N73znO9i1axdGRkaK3hvSptHd3Y3p6Wns27cP//qv/4qjR4+ioaEBExMTePbZZ+nxfr+fGlDnLqLkcjkaGhowMDCAgwcP0qKwU6dOweFwwG63w2w2l50Z4iPIK93Kth0wDNPGMEwnk/GS3DZu6AhyqynVXOQSZClT42LX2WrURVw/enp6dmQfs1gfIsteFlIvVPizUxFkKBTC5ORkXh/l9PQ0GIbJmpxyx08KrWZnZ6HX62nzNd9xQCYKIn1epfrU3G43LBYLenp6Su6nOJ1OOJ1OHDx4sKSCkM/nw8bGBnp6erImsTvvvBP/+Z//iampKdx6662wWCz45Cc/ifb2dnz0ox9FU1MTfvnLX+KBBx5AZ2cnjh49CqVSiTNnzuANb3gDuru78Z73vAeNjY1QqVRFLafe/va3Qy6X4wMf+ACOHDkCt9uN//qv/8r7PMlzvbGxgSeffBLf+MY3cPz4cTzyyCMIBoP4yle+gjvvvBPPP/98VtP9+9//frz61a/GF77wBfz+97/HV7/6VbS1teFd73pX3ljW19cRCoXwuc99Dq973evwl3/5l/jWt76F8fFx1NXV4W/+5m/osSx7Wcu1oqIiK21IXv/+++/H61//erz2ta/FCy+8gB/+8IeoqanB61//egCZKOvcuXO466670NPTg6997WtobW3F8vIyXnzxRdx11120KIY0qReKhhYWFnD+/Hl8/etf570vTzzxRN6c861vfQsf/OAH8ZnPfAa/+93vit4bbpvG1NQUFb944IEHIJfL8eCDD+Lee++l1bnEfUNIywvZJmlpaaGV6G63m7b7EBWp6urqoj2XuQR5vZIjwzAdAO4DcCsADYB1hmH+G8D/A7DGbnHgNyxBptNp2Gw2Kn21lfQBASFIUka9vr6OsbGxsvPsWyEVbuqRuH5YrdYd8YTku0YikcD09DSUSmVRrdHt2lWR17p48WJeH6XNZsPm5iaGhoYKfjnJ52kwGBCLxQrql3IJcmZmBlKptGSfGqkyrKioKNkfWahythBIui/3WLI4sNvtAIDPf/7zqK+vxxe/+EW86lWvQkVFBf7sz/4M4+Pj+N73vofa2lokk0ncf//9qKqqwt///d/DbrfjlltuKSoK4HK5sLy8jAceeAB//Md/TCfTt7/97bzHp1IpzM7O4tFHH0VXVxcee+wxmso8ePAg9u3bh+9973v42te+Rs95/etfj8985jOora3F7bffjmeffRaPPvpoHgkQ0e3KykrccsstCIfDAIDBwUEcPHgwbyxcLddC3+e/+Iu/oK8zMjKCM2fO4Omnn8arX/1qaLVaRKNR/K//9b9QU1ODJ598kmZhDh06hLa2NlRXV+PkyZMwGAy8YyAg/Yn/9m//VvC+/P3f/z0+8IEPAAAt2PrgBz+IT37ykwCAV77ylQXvDdfdg7QjvfKVr8S//Mu/0GPMZjM+/elPIxKJIBQKYWNjA52dnbyp4VyEQiGqVkSyX2q1Gm1tbTSV7Xa7MT8/j3g8jsrKSroY4Vau80WQW8nSXUkwDNMI4DvISNGdRUbQvA/AGwE8CODTAP7vVq59w6VYSdQYi8WwsrKS1YS8VUgkEiSTSVy8eBE+nw+33HLLljahy92DJCnVUCiEgwcP0i/zTpkm517D7/fj9OnTaGpqoum/QigWgZYCKQxIJBKYmJjIIsdkMknNdIu5MjAMQ/VLOzs76R5foc/aarXC7XZjYGCg5P6I0WhEMBikKjHFQFbcXV1dgjIUoVAIw8PDeftlhMRJwdEf/vAHTExMoL+/HzKZjKY/9+/fj/Pnz2Pv3r0YHBzExYsXcfvtt+MPf/gD/H4/NbkttHipqqpCU1MTfvazn+G5554r6HlJxrKysgKv14vl5WXcfffdWePu6urCoUOH8PzzzwMAHeNrXvOarAh9aGgoyxiXgKjxCBE9IGRaSm/1Na95DYAMwYRCIezevRterxcHDx5EZ2cnwuEwTp8+jSNHjmB9fR2bm5tIJBJYXFwsa29wfn6eVq4Xui8vvfQS/Z6R1o93vvOdWdfhuzfk+0HcPc6fPw8A+MIXvpB1nMvlgl6vp3quSqVScKHN/Pw8pFIpby8rwzBUQWrPnj04cOAAGhsbqWrWmTNnsLS0BJfLlaekw6fNeq3AMAwZyGEAbwLwbQB3sCz7SgC3ALgHwCqAHzAM84mccwThhoogc3sbZTLZjqQjI5EIHA4HhoeHBek3FkI5xMZNqeZOCFeCIElkvHv3bkEl2lvdgyRFP8T+J7ePkrRUCHW/aG1tLVoIQvatVlZWBNlIRSKRkv2RBOFwGEtLS2hsbKQZhkJjJkVehKByQdpHmpqa4HQ6kUql8Nhjj+Gxxx7jvR4Rvk6n06ipqcHAwAAOHTqEUChEFWA0Gk2el57JZMLnPvc5PPXUU/jrv/5ruN1udHV14eMf/ziNdrj3Ynl5mVaN8o27oaEB6+vrAEBJIDfyUiqViMViWb/jqvGQyLEYiJZrKQKrrq6mlaXEOSMWi4FhGGi1WlqLsH//fjQ0NMDj8WBubg4XLlygcm9Cnmuv10uVggrdF6PRCIlEAqPRSD//3Oie796srq4iEonQwpmLFy+is7MzL3U6OTmJkZERqubU09MjqE2Dqy8rpJhGIpHQPl4gsxDy+Xxwu90Ih8M4f/48qqqqYDKZMDQ0tCWrq50GwzBSAFIAcQBtAEwA/oFlWR/DMFKWZUMAfgXgVwzD/H8APsUwzHMsy55jGIYRmnK9YQiSr7dxu1WjZC/OarVCr9dvixwBYREky152xRgfH+d92HaKIEnD9ezsLFiWxcTEhOA+qK0QJFH7IZ6UDocj7++5EWEhEBIgPZkE3OZwMs7V1VWwLCuIdMl+jpBiGyLQPjQ0hOnp6aLHkib5QvtDjz/+OO2ZW1xcBMMweM973oP3vve9ea9JovuqqipIJBKYTCb09fXRopLm5mawLItQKESfk1OnTkGtVmNubg6Dg4N473vfC5ZlMTU1hR/84Af41Kc+hY6ODtx55530tQwGAxiGofeNr6Hd4XCgpqYGLpeLtiIIEauYm5uj+2UXL14seFxFRQVisRhMJlOWtJ3b7S6YSuZWluaCiKcTj8bq6moq0D46OkqNghOJBNbW1lBTU0PFHYDLkb5er6c9koXuCyHr1dVVwQV1sVgMy8vLqK+vp727Fy5cwPj4eN6xk5OTeO1rX0sreevr6+lnUAgsy9JoU4iPKB9kMhnV3iVpYKfTiX/+53/GxYsXEYvF8M1vfhOvetWrMD4+XjSizF2MRyIRfOQjH8H3vve9vGMZhnkvgH8CEOH8+o0syz7DOYZhM0gBIJOtB8AGMibLQCYzmmIYRs6ybALA95CJMl8L4Bz5u6B7IeSga4lihTjbIch4PI7p6WmoVCrs27ePNqlvB6WILZlM0kbsYq4Y2yn2ISA9c/Pz82hra0NbW1tZqehyjiWkb7VaC1bfkslaLpeXbA2IRqNYWlrK8woMh8O4ePEikskkNBoNamtrEQgEYLVacfjw4ZKVxpubm9SRvtSEtrGxQSfWUoTgcrng9XoB8JPHb37zG/z2t7/Fhz/8YbAsC5vNhvHxcSwuLuY5wKdSKerrR/oEn3/++bxol0RM5D3v378fzz//PEKhEBKJBM6dO4fq6mp0dnbiy1/+Mn784x9jbm4uiyA3NzcxNjaG2tpa7NmzB7/+9a/xuc99jj6XJpMJJ0+exL333ovZ2VnBiyuuP2Wp/bL29nZsbm4iHA7TxcXKygoWFxdxyy230O8BtxBraWmJ2pil02maWWJZFlKplLpEfOITn4Df76cau8Q4u7GxkRpxLywsIBgMQq1Wo7q6GlarFQCo7dfu3bvxq1/9Ch/96Efp57S+vo6TJ0/innvuwczMDNLpNCUCl8tF7xPLsojFYkilUtjc3ASQWTi43W7s2rWLimBcuHAB73//++kiC8gsJk0mEzQaDWw2G/bv3w+z2Yx4PJ71OeQKYNhsNvh8PsFWX0KgUCjQ0tKCH/3oR1hcXMSDDz6I2tpafOtb38Lk5CT+8i//krcIiXxeBKFQCI2NjXjb295W7OVeZFn2CN8fGIaRsCybZhjmbcgQ3hMA5gE8funfrwZw9hIpAkDy0n9tAMIAqoS+Z4LrmiBL9TZulSBzm/BTqdSOVGwWG4/f78f09DS6u7tLun7vhCJPJBLBxsYG9uzZI6hFZatIpVJUVmtiYqLgl3JlZYUWP3m9Xl7ZMILJyUm43W7U1tbCarWCZVm4XC6srKxQp4NIJIK1tTU8++yziEajsNvtiMfj0Ov1WYTDlWc7c+YMfYZWVlZ4X5tE3WfOnIFUKqVehOvr69BqtfTa5JxUKoXz58/TVOfvfvc71NfXI5FIwG634/nnn8fTTz+NiYkJvPWtb8VvfvMb+P1+3HffffiLv/gL3HHHHXjDG96A2tpaeL1evPDCC6ipqcGHPvQhrK2t4fjx4/jhD3+IW2+9FW9/+9tRV1cHm82GpaUlfOxjH6Op26effhrT09NIp9P4p3/6Jxw5cgRVVVUIBoN49tlnaUbhqaeeoqIGRqMRdXV1sNvteMtb3oKHHnqIjicSieCnP/0pVCoVOjs78dJLLyEajQIAnnnmGUil0qxJORKJ4Mknn6QScTKZDFKpFAaDAQaDAR6Ph7awnD59mha1ELm8b3zjGzAYDAgEAvj1r38NrVYLt9uNxx9/HACoqtOPf/xjBAIBGg3abDZEo1H893//N4BMVPzGN74RX/ziF3Hs2DGMj4+jqqoKzz33HNbW1vBnf/ZnkEgk8Hq9ePjhh9HT00NbJCYnJ+kY/+u//gtarRavec1r8Ld/+7f4oz/6I9x5552IRqN49NFHUVFRgb6+Prz00kvYtWsXzZacPn066zvgdDoRj8dx5swZhMNhzM3Nob6+nkr+2e12BAIBVFRUZCkokYyF1+uFz+eD0WiEy+Wi6lF8INW5hw8f3nY2rBCCwSDq6+vxvve9D+973/vAsix9Lkrhl7/8JRoaGnD06NGtvjwhgN0APgngQwCsAF4E0Avg1QzD+AH8mmVZKyeNegBABYCFcl/wuiVIIjJeTC6uXIJkWRYrKytwOp1Z7Q07JRHHF0EKSakKuY5QpNNpGAwGBINB7Nq164qSI4noSllhRaNRTE1NYWNjg5oXFwIRha6vr0cgEKDpsmAwiO7ubqyuriKZTEIikcDhcMDn81Hx5pWVFQSDQUilUuj1emi1WtouYLVaYbPZ0NfXl9Xbxwci5dbf3091Ti0WC1QqVZ7CzcbGBsxmM00Df+5znwOQWXXr9Xr09vbiU5/6FG699VYYjUaaYm5qasI3v/lN/OxnP8O3v/1thEIhVFZWorGxEbfccgucTicVu/7Wt76Fn/zkJ/jud7+LRCKBhoYG3HnnndShBsgQiFwuR1dXF+rr6/HrX/8aTqeTigl84QtfQF9fH+2HA4DGxkbI5XLI5XIcPXoUX/va1/CjH/0IX//61yGXy7Fnzx584AMfgNPpREtLCz2PW+lIVI+kUikaGxuxtrYGjUaD3bt30zS6x+NBe3s7jZAaGxvR1dWFdDoNh8OB++67D48//jj+9//+3+jo6MBnP/tZ/PM//zOAyylrkm5VqVQYGRmh6cPKykrI5XK6d5lIJDA+Po6+vj5885vfxBNPPIFUKoXW1lb80R/9EcbGxtDb24vNzU08+uij8Pv9aGlpwVNPPYWZmRm0t7fj4sWLOHbsGLxeL+rq6vC5z30Ov/rVr/Cd73wHcrkchw4dwmc+8xkYjUZoNBq88Y1vpPeGu41B+jmJLNy5c+cwOjqKW2+9lUbW//Ef/wEgU2VMsgQMw1Az8OPHj+PYsWNQq9WwWCyQSCSU/HL7lpeXl6nLzU5UmfIVQJK9b+7rCtWH/tGPfoR3v/vdpca2l2EYJwA3gJ8A+BrLskkAuJRWBYDvA/gDgGFkyO8ggDoAtQAeBvBuhmF+CWAZQCWAvwJwBsC/5VynJJgS+0xXveklN6Va7GYuLy9Do9GUdBkHLhePVFZWYteuXXl58xdeeAGveMX2zaq51yEVm1KpFENDQ4JTHuW8Ly6i0SguXryI+vp6sCwLtVpdMlothmL3hCh2jI6OFiThF154AYcPH8a5c+dgt9sxPj5OpeOA/C84MZgFMinDhYUFSKVSqNVq7Nq1iy6IEokEnM4YTp9+CVqtFO3tbVl7f8RGiMiXyWQyLC0tobe3FxMTE1mvmTuOUCiE559/Hs3NzVn7QmfOnMG+ffuynptoNIoTJ06gtrYWBw4cKHovU6kUnn32Wcjlctx6660Fn+tTp07h4MGDOH36NDweD44dO1bSG3BtbQ2zs7PYu3dvyWcmGo3imWeegcvlwoEDBxAMBsGybJa6D/c9Tk1NwWw24+jRoyWLu8LhMJ599lk0NTVRfVKWZXHmzJms+06wuLiIpaUlHDx4sGTfKsuyeOGFFxCLxXD8+PGC36XTp09jYmKCfjb19fU0ZV0MHo8HL730Enp7e/MqP5PJJLxeL9xuN3w+H2QyGdLpNC5evIjh4WEcOnSo5PUdDgfOnj2LwcFBQXuDfONZW1tDRUUFb3FZLBajz+L+/ftLXl8IiMAH9/49/vjjOHXqVFb/qhCYTCZ0d3djaWmp0PtnGIbpQYZz1gCMAPg5gJ+wLPs1vhMunaRGpkhnAMAQMqS5G5mIkrQiuAH8DBmy5RdbLoDrKoIs5duYC6lUSkvPi4Frakw2xq80iNhAV1dX2emOrUSQLpcL8/PzGBoaQk1NDVV+2WmwLIvFxUX4/f6Cou0EpMCBCGuXMlwm7ui33HILlf/r7+/PIvlkMomVlTBOnlyC212Bmpo+OBwRNDVJoddLoVRKUFFRQV3dWZbFM888Q8dz4cKFgmQAXPZYFOL5R4qfhBT8LC8vIxqNYnx8vOhzTe4Z8UwsRY4kBVyqPYKAmNX29fWho6MDKpUKyWQyS6ZMqVSipqYGEokE6+vrgsQUyLUZhsnaYy5U+UvMexsbGwWZD5vNZvj9fsF7a0TCTcjnSAQKlEolr9uFTCZDXV0dnTsikQh+//vfI5lMUkMB0nTPzTIQkHYRtVotyOaLjD/X65FP2o6AtLEI9aoUgp0UKv/xj3+MI0eOFF0csCy7wvnnFMMwfw3gAQB5BEn2I1mWDQMwXPr5j0t/q0aGYPcCmACwD8BHAPwnAAs5V8i4rwuCJPs+pFRaaCNqqTYPYkfj8/moCPeVBkmpms1mwS0VuSiHIEna2OVyYf/+/XRC3YlG/1zE43EahXMFtYuNjRg8l7LZIbY9LS0tSKVSWFhYgEajySLHeDyNpaUYTCYXXC4X2tvboVSq4HKFYTYnACSgVDLQ6aSXfiRwOOyIRqM4evQoOjs7C5JBTU0NjRKGh4fznpXcql6n00nd30sV/BCFn9bW1qJN/gCoPZRWqxU0mRJZOyFyeS6XCzabDbt27UIkEqGfn0wmyzLyjUQicLlcePrpp+Hz+dDW1ga73Y6ampqCCyJyP/r6+rJSboUIcn5+HizLCupL5JpOC1lskib/3t5eQdWlVqsVPp8Pu3fvFlSIZLfbUVFRgf3796O1tRU6nQ5utxtLS0uIRqNZhtEKhQImkwmhUAj79+8X1EPIFRHgjoePsIDMYnx9fR2dnZ072oJRiCC38ho//vGP8dnPfrbc01hc3nfM/gOH4JjMA0Z+0izLepBJwf6Bc0w/AHvuuaVwzQmynJRqLkgRBR+Ir2FdXZ2g8v+dQDKZRDQahc/nK1qlWgpCCTIej2NqagparTZPkHo7jf588Pl8mJ6epi0cQmA2m6FUKkuKhgOZogTi+mA2m7F3796s1opAIIXV1Rii0SSWl5ezPBm5iMVYxGJJOJ1JpNMpzM4uoKqqErW1GQURPjJwu90wGAx46aWXUFlZiYqKCiQSiYJemERdR61WC1LXIVGpEGFvq9UKlUpVVOWIwOv1wmw2o7u7u+RCjCvj1tPTU1SqjhBcbW0tbrvtNuj1erjdbkxPTyOVStH2CaJilU6nMTc3B5VKlbcQ4iNIl8sFu92OXbt2Cdq/WlpaQiKREESmpM0hN/oqBFLJWllZKYh8iTh6bW0tampqIJVKodFooNFo0N7eTvtXiZQhMR4QIn8I5IsI5P6N75kgLTWlVKHKBR9BBoPBsusaXnjhBVgsllLVq2AY5nUAzrEsu8EwzCCAzwN4tNT1LxXjZEUDHNIkhxjKGvQlXFOCLNe3MReFinRIdMBnalwMxRrBS4GkVKVSaUF9UaEoRvwEpOewr68PDQ0NeX/fKestIr9HSEtovxdpvzhy5EjJicFsNmNjYwNSqRRKpRIjIyO0MR8AHI4ELJY4WDZTLBONRjE6OkqfmUKR8tqaCX5/Ep2dQ1hcjEEqZaDTSaDXZ6JLhUIClUqF1tZW+P1+dHR0YGxsDKFQKKsgpaamJus1iLqOEI9Ou90Ol8uFoaGhkhmMUCgEi8WCo0ePCtqTm52dhVKpFDQxrq2tURk3UoFaTPRgYWGBttkwDEO1cLn7cSsrK5DJZAiFQnA4HLj11lvz7kfu6+QSdSkEg8E8ybRi98TpdIJhGIyNjQmKBldXVxGLxfKsrAphaWmJCho4HI6890tMkisrK9Hd3U39XOvq6nDu3DlIpVKaseBanxEYjcYsEQEu+AjL6XTC5XJhcHBQkARdOeB7vXA4XHKrJBc/+tGPcPfdd+epk5lMJgwPD2N2dhYdHR0A8CoAjzAMo0Wmr/FfAHx1K2PnI82t4JoQJDelmtvbWA5yCZKsvsgDVs4DsxWDYQKuSs3k5OS2iJaMpVDqmOVotxYjrJ0QG2BZlkZx5UTEJLWqUChKRk2JRAJnzpyhrQbcSr5UisXqagweT2afORKJYH19HXV1dVnSc3wEGQwGYbPZ0NTURL+YqRQLrzcFrzdzbysqJNDpJADCWFkxorOzk3xR6dg8Hg+toiVR49zcHFpbW0vuZyeTSczOzlJZr1KYm5sDwzCC9pHMZjPtdytFBPF4HIuLi6itrc3apyz0jC4tLSEej/NmXnL34/x+P373u98ByJCwy+Wii4qKioq878L6+joCgQD27Nkj6Hmam5srKJnG9z5JKxG3f7YQiJJQc3NzydQ3kFn0EXUgnU5X0lqLLLSGhoaovVg8HqfRZSAQgEqlovdLKpXSHk++Zys3giSLDdKKs9MoFEGWm2L9h3/4B97fd3R0ZPVJsix7P4D7yx7oFcQ1IUhSjLOVqJELLkFyTY25LuHlXqscgiQTIMMwtLx7O0RLUIjcuEIDxXoOi11DKMLhMMLhMNrb29He3l7W/VxfX4fH40F3d3fBNCXBs88+i+XlZbzzne/Mqs5LJFiYTCwqKi4XYS0vL0MiYUpqe7Isi9XVFcjlsizCy0U0mkYkksL09AIiERV6erqwsZGAXi+FSiWh/XENDQ0IhULo6urCH/7wB1gsFlRVVWFhYYHuNfGR1PLysuDoxOFwYHNzE+3t7SULc0iEV1NTIygtyLXfIigUdQcCARiNRrS3twtKpa2trUGv1+Po0aPQaDQIhUJUBDuRSECr1dKmfJZlaUGRkOrqzc1NWqwkpH5geXmZpmKFPK8LCwt5RUXFkOumUaxohhyfS+4KhQJNTU1oamoCy7I0xb+8vIyZmRkEAgH09vYiHo/nLfBzdVCJR+nevXuviD5qoQhyK3UVNyquCUFKJJIdUYQnpGaz2bC6uirI1LjYtcohlGAwiMnJSXR0dGSlHLZCtLngIzeSwu3s7BS0Ot4OQW5ubsJgMECtVqOlpaWszykej2N+fp5W9BUaQzqdxunTpzEzM4NXv/rVWROm30/2Gy9P4pubm/B6veju7s6aLPnGtrGxgUAgiL6+vpLRlcPhQCAQwK5duxCNSmC1JmC1JiCXM7TQR6/PuMUEg0EwDINXv/rV6O7upnqVa2trkEgkWamzUChUVmHO7OwstFqtoKyHwWAQvCdXaJ+yUJaDKOYIidj4rq3VaqHVatHR0UEVZLxeLy5cuEBF4u+4446S5JJOpzE7OwuNRiMoOgqHw1hZWUF9fb2gbRW3200LloTsg3LJmnxGxd4D0UPt7+8vSO4Mw0CtVkOtVqOyspJWDEulUszMzCCZTKKqqoru93IX3slkEouLi6iuri67HUwodrKK9UbFNduD3KmiGY/Hg3Q6jYmJiZLRSjGUIxZgsViwtrbGa4l1JYTGrVYrjEZjWRZcW6liZVmWVv1OTExQ8+ZyMDc3h1QqhbGxMSwvL/OeH4vFcPHiRRiNRgwPD2dFNnZ7AjZbHOn05fMyepcrtKo1t7WH+xpEY1Ov15csJiLH6nS6vGMTCRZudxJEtGRlJYWlpQXo9Rrq7EGKVYDLqTMiLL2ysgKJRCKot3ZlZQWRSAQHDx7EyspK0WN9Ph9MJhM6OzvzjJJzQfYpFQpF3j4l3+dit9vhdrsxNDRUkqhJeo/v2gRSqRSVlZXQarXo6uqCzWZDQ0MDAoEA1Y4liwqVSpU1ptXVVQSDQdpfWmzLAQCVfOvo6KDRarGxT05OQiqVoq2tje73853DsizteZTJZGhsbKTKMeFwGLFYLE/6jWVZnD9/HhKJBI2NjQiHwyW/R+fPn0cqlcKuXbugUChQV1dHRcMtFgtmZ2cRCoXoQmxzcxPxeFxQj+dWcSMSJMMwFQDeg4yaTr6Ibpm45lWsW0UgEKAPeaneMiEQosrDFf4+ePAgb3SyXQF14DJBEteCRCJR8PUKodwqVlIRq9fraQtHuSTrcrlw8uRJVFdXY3Z2FouLi/B6vVkrdNLOoVQq4XK5oNVqcebMGaRSLOx2gGtOsbSUkRezWKxwOp3o6+vD1NQUrXgGWESjMTidToRCmb2M9XUzvF4vdu3aRWXDAP7Jz2q1wOXK6GLyCWpzz7lw4QKkUim6u7tgs70IlQpQq1mo1SwUiuxjnU4nlpeXUVtbi1/+8pdIpVLQaDTQ6XR5cnWxWAxTU1OoqqpCRUUFFhYW8hw6uOOZnZ1FPB6HRCLJ0u7ke3+bm5tYXV1FT08Pnn766ay/LS0t0cIoIPNsT09PU29VIoVW6Noulwurq6vo6urCE088wTteILMYstvteOqppxAOhzE6Okpd7W02Gy5cuIBgMIhEIgG1Wg2tVgulUon5+fmse1UMgUAABoMBtbW1sFgsVBe3EJxOJ9bW1tDV1UV7ZIvB4XBgfX0dvb29OHHiBP290WjE+vp6XoRIrt/d3Y3nnnuu5PX9fj91rjl58mTB4xYWFqgAxurqKm655RYEg0EoFIosAY6dQiqVygs6rneCBNAM4O8BzCFT6LMt3HAEybIsLBYLTCYTRkdHaWHDdlGK2IhXWnt7O63s48NORZDxeBynT59Gc3MzOjo6yn6P5VpvTU9P51XElkOy6XSaipE3NDRQwQduuwR3n21ubo6atEajaVitQDzO11AehdvtRn19PTQaDU0NkomTaH5KJFKEQiH4fD40Njbyfom5tzAUCsPn86OpqaloWp5hGMRiMYTDYfT09KC+voF+FuFw5kcmAzQaQKtloFAk4XYb0NbWRhdupPSfCGeTyKqyshJ2ux16vR579uyBUqlEZWUl6urqCqaOZTIZhoeHedVUuOckk0lKAnyuFz6fD+3t7ZQg19bWUFlZmSURV+zapAe0mLkxAGr2K5fLMT4+XnR7IBgMwuv1YmpqCvF4nGol6/V63tcgBVpnz55FT08PxsbGYLFYiu4pkirc4eHhrLEXuj4p1Nq9ezdVByLHSqVS9Pb20mibYRgkk0mcPHkSu3fvptFdoftDxn/q1CkMDw/ntfbwnbd3717Mzs6ioaEBt99+O6LRKK2qJvZfNTU1O9LzfSNGkMhorsaRMU3eNq4JQW6V0Ih0m0QioVWVO9XrV4wgy0lx7gRBer1eKgVWyhZqu+MgFbh79uzJq04r572srKwgFArhDW94AyXZqqoqtLe3Q6fT0WrON7/5zbhw4QIYhsGxY8eQSChgNMah1/Ont1iWxa5du7B//34q8XU5gsxEKGR1f+HCBfT19eVJwvFdd3JyEr29vdi3b1/J/eLZ2Vk0Njbi+PHjJdtc1taMYJguHDq0B21tNdBoJHnPeywWo43lGxsbGB4eRnt7O2pqahCLxXgJLZFIwOFwYM+ePTh06FDJ79Ds7CxaWlrwile8gncBEIlEqPxhOBzG2toaDh48SEmgGBYWFtDQ0IDDhw+XfD59Ph8uXLiA/v5+HDlypOS4fT4fotEo2tra0NjYCI/HA7fbnSXowI2W1tfXodPpsGfPHuh0uktRfmG1FoPBgKqqKhw6dEjQXuXc3Byqq6tx66235qW0nU4nOjo6sqIsg8EAvV4v6N4AmVaHiooKQTKBZrOZ2oPt3r2btgK1traCZVkEAgFqxJBMJlFZWYmamhpUVVWVlX0iuEGLdNTI2FkJU1AvgWu6B1lO+o4YDG9Fuk0I+MiWqJqkUinBKc7tpFiJ8o/H46Eb81tFKXIj7y2dThds4RD6GYVCISwuLqK5uTkvAo3FYpifn0dTUxM6OjrgcDhgt9sxODgIn08Gmy1W8LoulwsKhQL9/f1F7z3LsrBarYhEIhgcHBTUmxgKhdDf31+SHImVVVNTU8l9uXA4DIvFioaGRkQiGtp7qdVKUFl5ufdSqVSisbERCwsL2Lt3L8bHx+H1ejE9PY1QKISlpSU6sZH3Uqz1Ihdcs+JC0TG3SKec9pJQKITV1VW0trYKej6NRiNisRiGh4cFLYzJvubg4CDNRgCXBR240ZJOp8PMzAyqq6vR3NyMQCBQ9DVIIU9zc7MgciQ9mO3t7bz7vblFOuT6LS0tgu5NuYU2RARBLpfnCVSQXlW9Xo/Ozk6kUin4fD54PB4YjUYwDEOjy1zHm0LgI8hEIrHj/ZZbxSUxAA0y3o4sy7JRZCytkgDS5Bi2HKLJwXWfYmXZjKkx8dC7Um7WucRGUqrleilu1RmEiKlXV1djfHy8pEGvkHEUIshwOIzJyUm0tLQUbeEQGkESFZxcTVJCjqOjo6ipqaH7XCqVFizbAputsJBBPB6H3W7H2NgYrxACAUmDmUwmVFdXlawYJceSVGYxpNNpaoZbqvUCyETRUqk0q+oylWLh86Xg82X3XjocRoRCERw6dJC6uXd1deHUqVOoqqqC0+nE0tISlEolFAoFFhYW0NvbK6hKe25uDnK5vGglKiFIp9NJ3eeFvMfZ2VlIJBJBrREk/VdfXy9IRcZqtVKJtdy9LyLoQKIlv9+P06dPY2lpCaOjo/ReFfuekrYOoXqlpE2jkAl2LkGW2zaysrKCeDwuWFzc7XZT7d9Si3WuIAGQ3dNrMBhoRF5dXQ2NRsN737ZbjX+lwCG9IQCPAVgFEGMYxgegEZkI8sMMw5gBhBiGiQNYY1n2v8t9reuaIImpcUVFBRWwvlLgEhtJqY6OjpasFMzFVtK+brcbc3NzVEyda2O0VRQqsCEtHCMjIyVXuUIiSIvFAqfTiZGRETrBkkWNz+ej4ukALomcR9HYuA9+f/H3ZzQawbJsSSk3hmFgsZih1erQ3V1amSUj4p4SpOKyvr6OeDyO/v5+2O32ovdic3MTfr+f+gsWQjSahtcbxvnzJtTWNsHt1iKZTECnk0KtzqRjc4Wxn3zySTidTjQ0NGBubg61tbVZllNcWK1WuN1ujIyMlKzqJq0UarVa0P1wOBxl9SUSvVUhSj+kIE2v15dUamEYBjKZDIlEAsePH8fQ0BC8Xi9sNhu8Xi8ikQglB61WC4ZhsuTthCwEnE4nNcwu9l4Jsbjd7rKuT8TahUab6XQaJpMJg4ODRXt7C4Hb00ten0SXZF+RECYZf27fJXn+r4ZsZzFwIsIUMs4fMWRsrRqQcfaQAng7MvwmQyaqfArAfzMMI2Mv2WcJwXWbYs01Nb7SkEqlSCQSmJmZ2VLVKEG5QuOrq6vY3NzMExrfLkHmFtiwLIvl5WV4PB7BKkOlxpFIJDA7O4vKykoaNREDZalUiubmZjpJZ/o4VwG0oKKi+KLD6/XC4XCgvr6u5J6f1+uF1+vF4OBQyYnJ5/Nhc3MTbW1tJXvfIpEILBYL6uvrodfrYbfbCx6bSqWoN6CQZzXjMcmgq6sbwWAKwWAKQAIyGQOrlYXLlYReL4VczsDj8UAqleLOO+9EW1sbAoEAXC4X1tfXASArbUZcI/R6Pdrb20uOY21tTbCINtFbFdqXSPoMiWNIKaysrJQl+cZV2CHqPhJJRjqwra0NHo8HJpOJKr+srKwIlrfjKtSUEqUgx8/Pzxd0A+FDudGm0WhENBoVLIJQCiqVCiqVCi0tLWBZFsFgEB6PB/Pz84jH46iqqkIkEsk771qTIxcsyy4wDPNmZDRXZSzLhhiG+QsAnwbwWgAuACpkCndCl84RTI7AdRhBEneKXFPjQiBEsN3oklT99fT0lK0cw4XQPUhik6NWq/M0PXe6lzKRSGBychJarVawowBQehGzsLBAFxMMw+QZKBsMBqTTabAsi6efnsLmpgL79xf3wkun07QNhC+d7vf74Xa7UVlZCZVKhdXVVSgUypJRB3mulMrSxwIZVRapVCpoglxfX0cikRCk4ETK9Ds6OvIWKckki0CAgcmU6cuTy9OYnTWguroSbW1tWTqfQH7azG63w+fz4Y477ig5DiK6XVdXVzSFTbC6uipYf5a0o1RUVKCzsxM+n6/o8eVKvm1ubvJGdyzLQiLJ2J01NzejubkZLMvS9ojm5macO3euZPEKIdZSxV4ENpsNPp8PY2NjglKSHo+HihQIiTYTiQQMBgOqq6sFGwWUA4Zh6J5uR0cH0uk0fD4fHA4HZmZmwDAM/vM//5MWyl1PYFmWiFaTYgYpgDAAM8uy3u1e/7p6t6QnTKfTCfoiApctr7ZDkDabDWtra6irq9tS+oILIeRGCo56enp4N+d3YpVGxuH3+zE1NbWlSLzYe/F4PLTXq7KyknpuclO3mbL3NJ5/3gijMaNWUyrtZ7FYEIlEMDw8DLN5nf6eZVnY7XY4nU40NjbC6/XizJkzcDqdaG9vQywWK7oHRa47NDRU8lkh6VKuVF6h64bDYVitVjQ0NJSscCYZA5WqomC7A/d1FhdN2NxMoqlpCFNTUWg0Uuj1GWWfiopsKTyu9uzm5ibW19cpEfBJ4WX2bKsFeVlGo1EsLS2hoaFBkJ8qV2+VqGYVA5+PZCGQSFatVuctXoiPLBepVIq2fhw6dIgWr7jdbhiNxjwFJFI4U1NTI+j7wk0NC1G4Iu9XqVQKMk4GLhdoCXGO2QkQEQyFQoH9+/cjkUhgbm4Ojz76KFZWVvC6170Od9xxB+644w6MjY0V/T7ddttteOmll+jz19ramtVjy8Wl6O8zyER9jwH4MMuyhav4ss8lHo96AEHO72/MIp3cB5kY/pZjpwRcNk3eiooO8R2MxWIYGBgoudIVOp5YjP8z5TpjXMmCIyDzkEejUczMzPC2cAhBoQiSiJErlUr09fXRiD/XczMWA0ymEAwGI/R6XckJJxqNYn3dRK2ECEGm02msrKyAYRgMDw8jlUqhoqICFov5UtR2eb9Qq9XSaj6ymietIFzlm0LgpkuFVBbyFeYUgtlsRjQaFVTRGYlEsog3nc5YfgUCKVgsCSgUl6XwdDopTQkeO3YMSqWSRgFcKbzq6mrU1tYimUzC4XBg3759gp6LcsyHSbRD9FaJu0YhlGt9RbwV+aI7EkFysby8nFUIk1u8kquAZLfbEQgEeFtt+FBuapjskwp1GwmFQlhbW0NLS8tV8bPNBcMwUCgUeNe73oXbbrsNn/70p/H9738fTz75JP7mb/4Gt956Kz7ykY8UvcbDDz+MD3zgA6Ve5zUAPgvgdgBWAP8G4IuXficEZKJqQobXkkDWfuWWcM0jSK6pMXcfTii22lZBKjmbm5vpJv92FXCA4kLjRNh8O16RQkBW2clkEkeOHNlyWqTQe1leXobL5cLu3btx9uxZVFRUULcCsjjweJJYXIzBarXTQheuITYfFhYWkEpl5MKIwHU4HIbBYEBdXR0aGxuRSqXoKh8Auru7aSRL9lKIPBcpfd/c3EQ6nabl71zkjoXs9QwMDNA+TJLGJ+liAqIz2tvbC5lMVjQdHY1GYTabUV1djcrKSt5juWMhKd5CxBuPZ/YqXa7Mft/qqhdjY71IJGRQKNiCUnjr6+t44YUXAGT2oaLRaNHvnNvtpubDQsg017uxmLNNudZXXFcSvsVWbgQZDoexurpatBCGKx4eDAZht9vR2NgIm80Go9GYlY7NXYTH43GsrKygsbFRUGqY7BHrdDrB0SbZq+zq6sLGxraFYbYFYpbc0dGB973vfXjf+963k5d/D4B/Yll2BgAYhvkSgJ9CIEFyiHAGgA/A9r3+cI0JMhqNYnJyErW1tVs2Nd4KQdrtdqysrGSJm++ERFyh63BVeMr1UisXkUgEFy9eRHNzM1Qq1bb2DPgiyEgkgrNnz2JtbQ3Ly8t0crBYLAAAlgXcbgm8XgksFsulQo32oga9QGZv0WxeR2NjE86fPw8gQxLT0zNoamqkPWksy8LjccNqtaGxsREXLlyA1WqF3+/Pu2YymcTc3BxWV1eh1WqxsbFBxaH57ks0GsXq6iqqqqry2mwsFgtVsgEykeby8jLkcjkYhrlUeFMY6+vrCIdD6OnphcfjKXjc2toaTCYTLBYLGhsbcfr06aLX5UbXkQiLM2dWIZGwqKjIyOCpVGlw53Wn04mNjQ2wLIsTJ04gGAwimUxSKTyNRpMlhUcWWiQ9XAyRSASzs7Ooq6vDSy+9BOBy4z9Z0HCxubmJtbU19Pb24qmnnip6bXJvNjc3MTIyQuXtuHOGy+WijiFAhqz9fj/1iSyFxcVFGj2Sa5GIktgyabVa6HQ6qNVqnDhxAjqdDmNjY3T8xeYwm82G9fV1DA0NZUnWFUIgEIDP58Mtt9wChUJxzVsutqqi81d/9Vf47Gc/i4GBAXzlK1/BbbfdxnfYCIB/5/z7IoBGhmFqWZZ1CX0tlmW/U/YAi+CaEeTm5ibm5uay2gC2gnKIjazgYrFYnrj5ThFkbtRFnEa20jJSLsg+IDGKJqS1VfBFkDMzM4jFYtRcmPuFSSZZrK8nAbCormZhtVrQ0tKCgweLt+gQG6+urm6MjIxc6s/bRH19HYaHR6BQKChRp1IpeDwedHV10ZQfy7K8xTSpVArRaBR79oxjcHAI0WgUwWAQwWCAWjHpdDqoVCowDAODwYDm5mbePjOWZdHS0kJ/T6LBwcHBkpW2fr8fm5ub6OnpRlNTcZunSCSCeDyG9vZ2QUU/NpsNer0efX19vHugLJv50WoBpTIFu91BBRLGxsaoNyuRefP7/ZBKpbSKUavVYnBwUFAhD7GbO3DgAP1uqdVqxGKxPHGPZDIJi8WC3t7erHRmoSicCBSMjIzQtpHcYwmBNDQ00O2SsbExQRW9Xq8XLMtiZGSkoBBJMpmE3++Hz+fD2toawuEwuru7UVtbWzLzFY/HYTAY0NHRISgdz17yfdXpdOjp6YHf77+ibW58r5/77G3FC/Ib3/gGhoeHoVAo8LOf/QxvetObcOHCBb79VC0ykR8B+X8dMtWo1wTXjCBVKlXZpsZ8EEpsJKXa1NTEWyq9U7J1hFSIeXM0Gt2200gpkApNt9udtw+4HeRGkDabDefPn0dDQwNe97rXZX124XDGokqvZ6HXE1ksFQYHB0tGzaurq9Dr9di9eze0Wi2MRiNUKjVaW9vyiG9lZYUeq9PpwLIsfD4f76S2vr4OrVbLa4OWSqXoZOf3+xEKhRCLRQtOqJFIBK2trVAoFAiFQlhfX8fo6GjJwgni7NDe3l5StxTIRDGVlVWCFlSZtG0mIhFS4JKpRG3Fnj17sLGxitbWXmg0+VFJLBbDxsYGnnjiCUilUtTW1tJUY6Fna2NjA1qtFhMTE1mfmd2eSbHnFr/Nzc2hqamJV8KNDydPnkR3dzeOHz9ecM7Q6/WQyWRoamrC888/j4GBARw7dqxk5MWyLJ5//nkMDQ3h2LFjgojo+eefRzwex+23345AIIBIJAKdTkeLonLHOD09jY6ODhw9elRQFGa1WlFfX08rY7frMVsu+DoDthJB3nLLLfT/3/Oe9+Bf//Vf8dvf/hYf+9jHcg8NIlNgQ0D+f0c0VbeKa0aQpGJsuxBCkBsbG1haWiraHL9VBRy+8cRiMZw+fRoNDQ1bMm8mKLZ/Q0DaRTQaTVktHELAjSAjkQj+/d//HXq9Hm984xuzfOlsthBcLhnI+iIajdIqyVLKL6FQCFarFY2NjaioqMDs7Cwt8Jiamsy6B+TYpqamkhWjkUgEZvM66urqeMcglUrpHl0ikcBLL70ElUqNcDiMmZkZ6HQ6VFZWQqfT5d3TlZUVyGTFzZgJyi3M2dzcxL59+wSRhtFoRKafsqvksaFQiFa5Amq4XAwMhhhksowUnl4vpb2XSqUSwWCQarlKJBK4XC7MzMwglUrR3svKyko6ec/NzUGr1eZFR3zPMNeUWcj73NjYEGTDRV6LFNzs2bNHEKmQqluhxsN2ux0ulws9PT303hNBerfbDYvFgnQ6jaqqjLKTRCLB+vo6Ojs7BREMKR7kVsbuRCtbOSgkVL7dwsIirWMzAMYB/OLSv8cBbJRKr263SrUUrnmRznZRjCBJFEe89opFcTuVYvX5fHC5XNi/f78gvcdCIORU7AtOTJQLtYtsF+RhDgQC+I//+A/odDq89rWvpWNKp9O4997P4+RJA775zW/SNBzxNOzq6irpy7e0tEQbvefm5tDV1cUhNCbvWLlcnkVMhb5wmX05ieA+RqlUir1790Kr1Wa5b1gsFshkMsTjcUSjUXi9Xur6XiorEIvFYDabaZFHKayurtKCjFLwer1wu91ob28XlDFYXV2FVCrNi46TSRZebwpeb+bZV6kkYJgI5uZM6O9vp5+FTqdDV1cXdcPgSuERkeyjR4/mkSEfQc7NzQk2ZS5GvnzHEnIh+qylwO0xFPIdIts0arU6K+3M7VHt7u7Ouk8vvvgiotEo+vv7aZqy2GKJFIrt3r2bHne1Zd92wsnD6/Xi5MmTOH78OGQyGX7+85/j2Wefxbe//W2+w38M4BGGYX4KwAbgQQCPlHoNQo5XiiivmzaPrYL0QeYiHA5jamoKjY2NgqK47Tbnkwnc7XZTF/DtoBRBEtNmkpa8EpBIJFRdQ6lUor+/n+4XJ5MsLl504tlnp7C+bsIHP/hBfOtb30J1dTXcbje6urqgUCiKZgk2NjYQCARQXV2N9fV1DAwM5O3lkAmWHNvX15e3P8jXMuTz+dDd3V0yhU8qF5ubm+l9zG3IJ9WTFosZ09PT0On0kMvlSCaTRYugSFGLkH43t9sNr9eLxsbGksSbKZjJKMMIKfpyOp2CZPAAIBJJY3p6EaGQEp2dHVhaikGvz7SSqFQSupgh/ZAejwe/+93vIJPJsLy8jM3NTdpGIZfL8wjS4XDA5XJhcHBQ0PbK6uoqIpEIJiYmSn6HicQht4q2FJaXl8s63mg00j5dUrjDB3KfWJZFQ0MDuru7oVKp8qTdctPWsVgMy8vLaGhoyNKvvR4iyGAwKKgPliCRSODBBx+kmraDg4P49a9/jYGBAZhMJgwPD2N2dhYdHR1gWfb3DMP8DYCncbkP8guFrk0IkWGY9yJjjuzlkmTO//cjo8UqqKeSi5sigiSO4AQOhwOLi4uC9EYJtkPY8Xgck5OTqKys3BGhcaDwnihZwcbjcUFyeELStHxIp9Ow2+2IRCJQKpXQ6/W0KCYcTmFlJQaG0eAHP/gBPvOZz2By8iLuvfdevOc978bo6BhaWlrgchXOjiQSCWqRRVLRuV9IMu5EIgGj0Qi9Xk+9JnPfI0EqlcLKygrUanXJiIAQjVwuK1rIoVAooFQqkUwm0dzcgr6+PkQiEVp2T8iUa8NUToRHRNFVKpWglGPGuUSY7Bi5tlAZPJfLRUUSpFIZ7b0EEpDLL/de6vVSyGQM1tbWUFNTg2PHjqGiooKmGc1mM1iWhUwmo1E5gLLk6ghZ1NfXC5qYQ6EQFQUQIuoeCoVgNBrR2toq6Hiu+lBNTQ3C4XDR44kEnVqtRn9/PyQSSZa0m9vtptZUZFFtsViQSqXy9pRTqdRVVbHZCaur+vr6glXYHR0deQsMlmX/N4D/LfDyGcd04K8A3MkwzOdYljUCWeSpBnAUGbLdB8AgePCXcFMQJIkg0+k0DAYDlcS6GrYsRDOWCBwkk8kdq4bNvU40GsXFixfR2NgoaHIk6cdyCTIej+PixYs0AggEAhgfH4dcLofLlcT6eozuN1ZWVuK73/0uvvzlL+G///u/8Q//8AN84hMfx759+4pK1S0uLsJoNOLgwYPo7e3lHSM5f3V1FalUSpDodTmybw6HA4FAkDcqzQWxW2pvb6dE09raikQigUAgAIfDgVAoREludXVVcIRnsVgQi8UwMjJSsvI4Ho9fEj0QlqUwm81IJBIYGBgQTKaFFheJBAu3Owm3m/w7gMXFDQwPd9NKYG6aMZFI0FYLonrkcrlw/PhxQdHQwsIC0ul0WdGgUKcR4LKCj5BUL5B5ZlOpFIaGhgSpd62vr/NK1nGl3UhvrtfrhdlsxokTJ9DS0gKn04l0Og2dTrdjcprl4ErtQV4BNAH4YwCVDMN8g2XZZy+RYy+A+wHce+m4LanA3PApVkKQkUgEk5OTaGhoEDQZbBcknWO327M0Y3dCR5XvOkRpiLRwlHONcr5YPp8P09PT6O/vRzgcxoULFzA4OIjW1laYTDE4nfkpU4VCgQce+Eskkyk888zT+Pa3vw2NRovDhw/zEqTNZsOZM2ewZ894UdJjGIZqQra1tUGtVhdtsC9H9o0blZZSbiIKSHq9Pq8wRy6X01QZy7KIRCJYWJiH0WhER0cHzGYzLfbheyZJJSopJjKbzUXHsra2BpZNo6urdNo2I7hupoLrpWCxWBCPx9HX1yconTk7u4J4vALpdCsmJyPQaqXU91KpzEjhaTQa6m36xBNPoLa2Fl6vF3a7vagUntfrhcViQXd3t6BJ2eVyYXNzU3AVt8vlKsvmKxAIwGQy0UIbj8dT9HvFVRQqFbmTSuGVlRUMDQ3h8OHDCAaDtNhIo9EglUpdER3WQtiJPcgriUuycgDwEoBXA3gdgF6GYT6HjB7rNwB0XTomgYw+a9m4KSLIYDCIc+fOlUUe20EymaRSawcPHswTGt+JvWJCbiSCcjqdZSsNlUvWZrMZ6+vr2Lt3L9RqNZ588slL6Z4RLC5GEQzyX4u0mdx11104cGA//v3ff4Pjx48jHo/nvb7D4cDzzz+Pnp4ejI6OFR0P2ddVKBRFK0bJ/S6lPsPF2toaUilhtlebm5sIh8MYHR0tGmkyDAOpVIpoNIaxsTH09/fTApb19XUoFApUVlZCr9fTz/Gys0dXyXGQfkohbiQAYDSugmEkgtOZZvM6bekoBRIx9/X1XXrOAL8/Bb8/k/VQKjPpWK83hfr6TI+pXC7H0aNHodFo8qTwGIahCw29Xo/5+XkoFApB+qNEHF2pVAp23yAKPkL1UElhEVnQlVp4rqys0EyGEDidTjidTgwMDECr1UKr1aKpqQksyyIUCsFgMMBqtdIFV6GFxU5hJ1KsVwmfBvAXAN4GoB/Az3CZ1yIAlgHcz7LsltpFbmiCTKfTtET71ltv3ZGUaqmUJKkc7e7uFlQlt1VIJBLE43FcuHABKpUKBw4cKDvFIpQgudJ0ExMTkMlkVMhBqazEqVMbSCSy7wv3/zc3N2EymdDT04MjR47i8OFXIBwOw+fzwefzIZlMQqvVwmw2w2q1oqKiAo2NjXmKMrn3fW1tDQAwNDSUpZObTCazjg2FQlhZWYHdbkd3dzei0Sii0Wje+yTnkGiATEDcvaTcMSSTSSwsLEChkEOr1Wbp7OYeyzAMFhcXkUwm0NbWhnQ6TSc7IBMtkhaHRCKOVCqzzzs4OAi5XE4XRITwudcnixCFQiEobZtxDfHyuobwoRyiJs43Op2uYFQTi7GIxZKwWlMwmXzY2LBjcLALGeehy4LYXCk8j8cDq9WKP/zhD1hfX8eBAweQSqVKFhaRVGZXV5egSs9y20A2NzfzCouKESSRuBO6t0n2KvnstRiGgVarpdrAOp0ub2HBtTzbqTRsoSKd6y3FyrLsNID3MwyjBHDPpV8nkDFN/gnLsvdt5/o3bIqVpFSrqqpQWVm5I+RYqiGXRFhXsnKUgGi39vX1bZmIhUSz3H3Nzs5OMAyD2dlZfOITn8Do6BGoVDpEIstFx0nsqYiVE0EwGMRjjz2GjQ07Xv/6N9D0GpF9K6YtSSy6WltbYbVaYbVaAYAqv3Cfn9XVVczOzkKhUECtVsPhcBS8LndPUy6Xw+v1Fr0/drsdHo8HKpUKFy9eLPqchUJBmEzrqK+vx9TUVNHrplJJzM9nhCQ8HjdOnToFlUpF5cVyvx9utxsbGxtobW3FSy+9hPyvT+YXmX3bNJaXM/JzDMPQfU1yTYYB1tZMCIWCABharNLY2EDHXWgxRO6Jy+XErl27qCwg32IByERGdrsdMpkMEokWy8unIZEAGg0DtZqFWg3I5ZePT6VSMJlMSKVSsFqtWFhYQDKZhE6ng16vh06no99PhmGQTCZx7tw5qNVqKgZC9kP5xpVKpXDu3DlUVFRQ26xS7/fcuXNgWRbt7e1UT9nlciEWiyEajeadOzc3B7fbjdbWVip7V2i+YxgGNpsNfr+/qL0WIeTchUWu5VlFRQWNxLn3oVzwLUxCoVDJrYurDYZh5ADeDaAamdQqQQjAeYZhqlmWLaztWAI3ZAS5ubkJg8GA4eFhaDQaTE5O7sh1SWFMLkGmUinMzc0hlUrRCOtKwmq1wuVybYscgXzT5FyQAqPBwUFaUs6yLN7znvdiamoDRqMSn/rUUezdu5f3fJZlqcbm7t278/YILRYL7QX79a9/jQ996IPo7e3Fnj176D4R93ju/y8sLKClpQW333571v5ZOp3Oax1xOBzQaNQYHh6BRqMpuChgWZa2i/T29tKWlUJjCIVC8Pm86OgYB8um0dTUDKVSyXs8y7KYmZlBR0cHlcvjuyb5f5stoyW7a9cuKpoRCARgs9kQi8WgUlVcij4zE5LL5UJXVxf6+voKXpP8d2NjAxqNGt3dPTSCyT3e4/GiurqG3pPa2hr09PTyOmRwEYlEEAoF0dzcgurq/Pt36ayse0iUdLgTbjDIIhjM3COFApfIkoXTaUE0GsXIyAiNUIkUHomapFIpLXJxOBwIh8Po6enBxsYGwuFwVnFb7vteX1+Hx+PB0NAQrbLOHT/3fjocDiqJZ7PZ6DEulyvvWSTVqfPz82hubi65nwxk5pbp6WkcOXKk6He9UFEQ1/KM7IG73W4sLS0hGo0WVfcpNa7cNP71RpAMw2gA/DOAP8JlLnseQCeANgB/D+C1DMP8OcuyW9LdvKYEWazKkQ/pdJoKCpMq1VQqtSNVowC/WAAxAW5tbd2WkbIQcLViW1tbty0ZVyjFSnQebTZbnim11xvE3Xd/Ag7Hj7C+bsKXvvQlfPe73+Xdq/N6vfB6veju7ubV01Uqlfj4xz+OX/ziFzh79gy+/e3v4JOf/ERJ7V23241oNIru7i7U1dVl7buyLItEIpGVLo1EIhgfHy/pkJBIJLC4uIj29nZKNIXAsizsdhtqa+uwZ88emEwm1NXVFdz7M5vNUKvVGBoaKrkPHovFYDKZ0N/fn7VHRdoihoaGslLUxPZr9+7dqKurK/oMxuPxS2nboaLVn7FYDLt27YLNZkNNTQ0GBwcFaSJnFgGd2LdvX8nUJ7EOGxwcwKFDh0t+d2KxGAyGEHp7d2F8fBR6fab3ku84olgzNzdH9Vw3NjYwODhYcJ8+HA7TBvzx8fGS7zWRSODEiRPo7e3NkkwDQKNy7jPHsixefPFF1NTU4Pjx4wUzUdw5z2AwgGEYjIyMFB2LEKk5hmGoGD9J8ee23ZDos6qqqmg6lo+Qw+Hw9ZZirQPw1kv/bwHwTwAeBvBKAF8BsAvAXQD6AIwylz0jBePq1Q1vE9FoFGfOnIFMJsP+/fvpaminJOKAfILc2NjA+fPnMTw8jI6OjrLIsdxCnWg0itOnT0OlUmHPnj2QyWTbroblI8hUKoWpqSm6yOBO+MFgCv/v/02jsrIJP/jBDzAyMgq324X77rsXZ8+ezbpOOp2mqdXcHkJCwF6vF83NzfjWt76FQ4cOIZlM4Jvf/CZ+/vOfFxwzua5KpUJDQ2NJJZ7V1VXIZMX7GAmMRiPSaeGFOYFAZl+rVMbgcutFab9JMg6gsIAAwzDQaDRoaWlBW1sbKioq0N7ejmAwiNnZWSwtLWFzczOv//fytVlBxSeJRAImk4kWfZSC2+2Gz+dDe3u7IG3hTFVsAl1d3YK+O5kKXRYNDV2wWhOYn49iejqCtbU43O4kksnMs6BUKmm0NTQ0hCNHjiAejyMQCGBycpIKduTOC8Q6SmgbSK51Fxd8e5A2mw0+n4+KwRcCSX3HYjEYjUa0tLQI8iktV0mHCF50d3dj//792LNnD/R6PZxOJ86cOYMLFy7AZDIhGAzmfc/4CPlq92IWAnP5YSIbvL8C8H6WZR9iWdbJsuyjyESVL1z6Oxl02dHNtX+3AkBSqnzOHzsZ0RGCJP2UoVCopEQdH8rtPyQtHNz3txPSd7kESaywSDTMhcORwLlzZrjdfvT29qK+vh7f+MY38NBDD+HMmdP4i7/4JB588EHceedrAGQmP6Iowp0oiFejRqNBV1cXHA4HrFYr3vKWuzEwMIgf/egRfOc734ZKpcKb3/zmvDGbzWbEYjGMjo7C4XDwpr/IPqbL5aKaoaW+uOVUgCaTSRiNxqJFKFxkClyEkRKRIiwkIMB9ZFiWhdG4Sv02pVIpWJZFNBqFz+eD0WjM2p9jL9k6EVItBbLXJ2TBkBmLESqVSlDaPxqNwmLJOJ4I2a/3+/1wOp159yW391Ktzqj6xOMeOBybGBwcoMo+RK81GAxSKTyFQoGamhq61ye0rYMYFbe1tfG2yOQSJJ9+aikYDAawLCuIsHeiD1Imk6G+vp4+09FoFG63m6r76HQ6WvCTTCazCPIKyp2WBMMwdQCGWZZ99tJYyGACyAgLfIVlWQ/DMDKWZZOXIsVZhmHuBPB/AWy5P+a6TrESM2W/37+jLhWFkCnRj2JhYQF1dXVb7qck5FbqgSaTjsPhyGvh2Il+Su4eJCHhXHWhdJqFyRTHxkYEq6ur0Ol0tElcpVLhwx/+MP7rv3rx85//DA899BDs9g289a1vxfq6iSqKEITDYSwtLaK1tQ21tbUIhUIIh8Pw+/1obGzE0aNH0d3dhV/+8jG8+tWvzhsvERivr69HVVUVLaAgIJZBSqUSZrMZ8/PzlybH2qILknIrQE0mE5LJJHp6ekp+/lzCKzXxZsaxLFhAgESxfX19WYUpKpUKKpUKTU1NNI3m9XppwUx3dzcikQgqKip4x08qd0mEL6RlxGKxCBZdBy4LqTc3NwvqqVxdXYVcLi9JLuFwGqFQChcuLALQob+/GZubCeh0Upqi5krhRaNRuFwuPPXUUwgEAujo6MDGxkbJPbn5+XlIJJKCIgK5hLW6upqnn1oMxNS7u7u7pF0a3+vtBCoqKtDS0kLVfUg6dnZ2FoFAAAzD0J5i4nt6pfvLC+AQgI8jo5gjZVmWRA5GlmXvB4BLv08CmR7JSyQZZhjmHcio6IBznmBctynWaDSKs2fPQiqVYv/+/VecHIHM3sb8/Dx6e3sFTY6FIITckskkLly4QO2wcifXnSBIco3V1VUsLy/jwIEDWeQYj6dhMEThdidpNLJr166sCkCJRIJPfOIT+PjHPwGAwfe///f40pe+BJZFVuSRKQxYxK5dfbTgh2EYrK+bIJVKaXR1552vwfe//306KROneyDTx8gwEnos9/4Hg0HMzc2hra0NnZ2dqKioQFNTEwYGBpBMJjEzM4Pl5WU4nc48KTqbzUYLOUpNMlxtVu5+SyGiWVnJpJmFEB6RiOvuLp1yzLRSZKLYYjJrJI2mUCjQ0NBA5QctFgtmZ2dhNBrh8XjyshE2m7WkxB4BN4UsRLqRtCG0tbXRibUYNjc3EQqF0NXVJdhNIxKJoLOzC4EAC7M5gbm5KJaW0jCbk/B4kkilMgvviooKsCyLuro63HXXXWhvb6c6zWfOnMHy8jI8Hk+eKIfD4UBPT0/BeYdLWLFYDCsrK3n6qcUwPz8PuVwuqM+T4EqSE8Mw0Ov16Orqwt69e6HX66mu8pve9Ca88pWvRDwex9mzZ0vOS7FYDO9///vR2dkJnU6HvXv34ne/+x3vsY888gikUikYhglyfm7LOawOGX1WAJCRFCuJJC9Jy2U94GSvkWXZCMuyz5d5OyiuyxQrMf7lVldeSZAIw+fzobe3d9uvWSo9GgwGMTk5ia6uroLmrBKJJG+i3wqWl5eh1+vz+igDgYx/YzLJwu/30xYCLilwSfqP//iP0dBQj4ce+iJOnHgGoVBGQouozAQCAQwNDWelo51OJwKBIPbt25/1ezKOdDqNL3/5S5iensGDDz5ISYys7EkE7HQ6YbVaMTAwAKVSSVVTOjo60NLSAo/Hg+HhYeq2sby8DJZNQ6fTQ6VSYW1tjVoPFQMrUJuVoBxN1HIl4jKSeUkMDZUmU7KXqNfr6fNUX19Pqyp9Ph/sdhsYJkOmsVgMwWAIHR2dgvaUMv2owlLI5LtEFg1Go7Ho+FOp1KWFgFZQOjuZTNL3mvt5JhKA252Cx5MGw2TSsSoVi4sXF1BTU0WjU67jhsfjodrNFRUVqK6uxsLCApRKZdH3yyVIg8GAVColWBSAa991JX1it4N0Oo26ujo0NTXh8ccfx9LSEt75znfiO9/5Di5cuIChoSF88IMfxB133JF3bjKZRHt7O06cOIGOjg789re/xdvf/nZMTU3x9tkePnwYf/jDH4rl4fUAzADAcgTHGYaRIBPkpcEtnd5BXPMUKxdEOcXr9ZaVUt2OVmE8HsfU1BS0Wi3a29t3JI1RLPqz2WxYXV3F2NhY0ZLp7UaQXJ/F4eFh+vtM3x0Duz0JliVp7EUoFApexRVuCvzYseP48Ic/jB/+8Ic4c+YM/vzP/xz33nsvrzYskXJTq9UFpbYy0nA22O023H///bjvvntx6623Zr223W5HMpnEyMgI7VNdWVmGQqHIIjFu6rG5uZkaIl+8eBF2ux1jY2PY3NxEVVVVwUmpHG3WeDx+yfNSGOEZjUbBEnHhcJi2gQjZvyu0l8jV/AQu98xNTU1CJssoUEmlUlRWVha8J9y9WyF7dyS642rhFiPIjFZsEoODwhRt1tfXkUqlihY4AQDLAqFQGnNzJpjNLKqqerCyErvkeymBQiHJ25MLh8OYnp6GwWBAV1cXFhcXaYtE7v0h843f74fZbEZXV5egCk9Sqa7RaAT5iV4r5BYFVVdXo7GxET/+8Y9pS1Mhpx6NRoOHHnqI/vuNb3wjuru7cfbsWUFCFDxgAdzDMIwUwDkApwCcY1nWiww5XjFcNynWWCyGM2fOgGGYsvcbC1lelYLX68Xp06fR3t6OgYGBLV8nF3wRJFGrsdvtOHjwYMl+ou0QpMPhwIULF9DU1JSTUk3grrvuwwc/+FeIxTIVkFarFeFwBLt27cpbHOQKDZhMJrS3t+N73/sempqaMDc3i69//WuQSCR5k6DRaEQqlUJbW1vBCVKr1eLhhx/G/v0HEI1G8L3vPYzHH38cAC4RXEY9Z2BggH5ZM+nSSMl0qVQqhUQigUKhwCte8Qr09PRQp4/Z2VmqwETeXyKRKKkOk/v+MlFV6QIXn893qXimveh+HxnLysoKpFKpoAk0GAxiY2MDzc3NJfey5HI5IpEIqqqq0d3dg+bmZiQSCSwvL2NubpZmArh9gEL3BgH+6K5YjUEkEoHVakF9fb2g/rpIJEIXDkLIKBaLwWIxo66uDhqNDj5fCuvrcczMRDE7G8H6ehw+XwrpdGaMCoWCGie/9rWvRVNTE4LBIC5evIizZ89idXUVPp8P6XSaEuT8/HyWBF0pmEwmhMNhDA4OXlXx8a0gV62KLNYYhsHo6Cj27Nkj6DobGxswGAwFW1nOnz8PhmGcDMMYGIb5PMMwuavTBgBTAOYA3IZMYc6zDMP8hmGYLzAM81aGYfhTcdvEdZFiJQUkW02pEkISmq4gDcNWq5XqjgIZQijmXygUueQWjUYxOTmJ+vp6QS4TQGG7q2JgWRbLy8vwer2YmJiAzWaj14jF0viv/5rH6dMLCIdDcLs9eOihhzA5eRFAxm/R4XBkrfoz6a81KBQKRCJhLCwYUFdXh2g0ij/+43fgV7/6FUymNbz//X+G++9/gIpch8NhzM/Poba2Dh6PByaTiTeaIMfecccdUKvVeO65Z/HXf/1FzM7OYs+ePZDL5aisrKLjIuo6Go0a6XQaLpcLDMPA7/dlKfiQ4q/p6SmwbMbsNx6P0x6xdDqNUCgEs3kdwWAIFRVKeL0+RKMRWuDCvRYAapgslUovpSztaG9vh1Qqpc8Mt4ghV+lHoVAIIhmv1weWZQV5N5JrC21zIYREmsrJ/eBG3G63GyaTCQqFgkacJHovBb7orljxFCnkEaIVS96rRCIRHHllUsP81ydSeE5nEgwDaDRSbG4aEQgksG9fhryq/n/2/jtOsrrK/8eft2JXV+ec83ScPMwQVzGCoqvuz7RrQnEVRGVJkpMiILIoigKKLLgGTB8xASoouGQYJnRPz3SuztXdVV05h/v94/b7dsXu6plBZv3teTz6MTM9t27dunXvPe9zziuUlFBSUkJbWxuRSITl5WXm5uZwu91Eo1G1SyOcbtYL4W5SVlaWZLa8XrweCNLU9zxaJ49IJMJHPvIRPvGJT2RsQb/hDW9gYGCAtra2KqAP+BkQBW5N2KwCeEyW5RskSeoBaoEeYBdwMvAvK9s/fDRcx7XidU+Qo6OjOByODQtxJ0biQ2q9EIAOnU7H7t27k278TN6SR3s8ooJcXl7m8OHDG07+G+V3RiIR+vv7MZvN7Nq1S31Yx+Nx3G5l3lhf38Z3v/tdLr30Ul59dS+f+9wFvPe976WtrV3VI02sHpQZloJsE8ayHo+HpaVF6urqueCCC3jooQc5cuQIN9/8FT760Y/S17eZsbGxFY+7UqxWa1a0oEDxhsNh3vnOd1JaWspvf/sbfvnLXxAKhejs7CQQ8JOfr9yYMzMzqlehkPAC5UEYjyc/iO12G4uLSzQ2NnL48OGs502hRiwxPDyC0WjEZrOricNkMqmr/IUFK7OzsxgMBiYmJpBlGY1Gk6SukilSJeIgkcqxmkyFbNqLL75IbW0tOp2O6elp9f8TtxP7UCySZmloqGdgYCAtOSt/rP5OwPmNxjysVqu6eErcDpRrT8zJhVOO2WymsLAAs7lAPSeJx7OK/i5XJdwkSWJubg5ZljEYDEnfj8fjYWRkhLq6ujS5t9RFFCit3omJCRobG9PkAcVxuFxOFfDl9XpVjmEgECAQCGTcr/jTZgtz8OAIpaVlDA1FKSiwU1iopahIi16v7L+goECtdPfv38/hw4fx+/1MT0/j9/tVHqxOp8v4nQleZa6zShEboYy9VnE0CTIej/Oxj30Mg8HA3XffnXEbMRZYSWr9kiR9Gbic5ARZDcyvbHcYpZL8C4AkSU0oKNdDK9se19XE65ogp6enkWWZk0466ZgugFw5g+Kmb25uzriaPx7cQ1hNbhaLhYWFhaNK/htpsQoB9ba2tiQfP+UBHsZmWxXu7uzs5L777uOiiy5iZmaGhx9+mG9969sZZwOyLJOXZ6SiopJQKIjBYFQ1W8VD8owzzuD222/nd7/7LQ8++BDnnXceXV1ddHd3U1JSwtDQkDoDTZX9WlhYIB6Ps2nTJioqKlQB+BdffJELL7wQq9VKSUkJRUVFOBwOwuEQO3fuVEXGxf4MBkMSlywUCnHwYJCtW2uTYPqpkmyg3MSDg4Ns3ryZLVsUdxGv14vb7VZndEL/s7q6GqfTSWlpKe3t7Wr7OnW/4tii0Sh2u522tlY6OjZl3C7xz5mZGfLy8ujrS5bMyyQrF41GcTqdlJSUrHznEuLZIDZPfL3H48btdlNbW6NeW2JRmXguxZ/z8/NoNBIdHQowKhDwY7Uu4PdPoNFImM0FmEwmNfFZLBYCgQCVlZUJiwZ5RRdXRqtdfdQIII8sy5SXl6ui9NlCQWKPAwrAJtVoV4QiNLC68IpGo+Tn5+N2u9fcP8Ds7AwejxeNRsvevQeS/s9gkDGZ4phMMnl5MhoN7N27l2g0SldXF263G6vVisfjwefzodFo1GQq9FBDoRDz8/OcfvrpOQmYJ8bRiAQca6Q+j71e74b0p2VZ5rzzzmNhYYFHH310I2AkmXRC/38DUyvHpV3ZRl6JKfF/K+/7j5MgGxsbX7OZX2rMzc1hsVjWBMccrwQpSRITExMUFRWxe/fuo5o15JogrVYr4+PjaQLqsZjM9HQcuz1GKlC2urpaBdtYLBN89rOf5b777svoJBCJKMR/p9PJqaeemtYa0mq1XHnlldTU1PD973+PH/zgfs4662xOO+009cGbqTIQyMvS0lJqamoYH1fEtT/2sY/x8Y9/HEmSVPi98AYsKiqmo6Mj7Tsym/MpKChQ9z87O4vJZGLr1q3rzrKtVitarZatW7eqs8fEzxgMBnG73SvtRkWyS9BL1vteR0ZGqKgoZ/v2HetyDZX25xwdHR1s3bp1zW1BSQbV1TXrgr1AeVjt27eP7u5uduzYoSaObBw/UXF1dnZmnK1FIhGcTidut5tAIEA0GqWoqIhTTz01rdU7MjJCS0tL0gNyfn5eJcgnagBnWxDMz88Ti8Xo7OxUAVGZFg1Go5Hu7m6WlpYIBAK0t7dTUVGx5kIDlAWmx+Ohq6tbpetkOx6QMRiiBIOH2bKljVNP3Zm2MAqHw7hcStvf5/OpSbqwsDBnc+bE+HubJcfj8bQEuVEvyAsuuIDDhw/zxBNPrHntP/bYY+zcuZPq6mokSeoGrgN+kbLZb1kB4wg6h5SholpBtcrHM0meUCjWo421EpsAx0QiEZUjttZ+jpV7KIxOKyoqktCjG431EqTQpfX5fOzevTvpARQMxhkfD+H1knEfYq74rW99i9tv/xrhcCQrj09YCZ111llZwSuSJPHJT36SeDzOAw88wB//+DixWJSrr74m6/xEgHiampoYHBykvLycmpqapGsiHo/zta99jaGhIT7xiU/w9re/PatKkfidw+FgeXk5q1JNYghgzlqmyXl5eeTl5eH3+3E4HOTnmykpKVV5bEVFRRQXF6d1CJRW9BL19fU5EfGV+ZpEbW3NuttuFNwyNzdHMJhMR1nr3hMgoWyzQb1er6I/4/E4zz333Iovq4fDhw+rnpfC9zHxvaLRKNPT05SUlOQEhopEIlitVioqKtZV8BEo5qWlJaqqqmhpacnpGTM9PUVZWVnOs1alOi2lpuYU3O5iCgsVk+iiIi06Xfp1OT09zcLCAoWFhfT396uUo5KSkpze7+9dQWYzS861xTo5Ocl9992H0WhM6mjdd999/NM//RO9vb0MDg7S1NTEk08+ybnnnsvi4qIPWAB+BNySuL9UjqOYM0qSdC4QA56TZXnseM4eRfxDJ0hhf1NbW5uTluqxVpCimqurqzvqeaqItRJkOBzmwIEDlJaWsmPHjqTP5XJFsVjCxGJykpKOCK/Xy/z8PLW1tVRUVHDrrbcRDofVhUM0GkWn0yHLMkNDQywv2znzzDet+zBbXl6mq6uLq666im9+85s88cQT2Gw2Pv7xT6RtK3iXZWVlTE5O0tLSkrHtJGaeTqeDe+65h8bGRk499dQM7y6g/QrqMlelmo2YJgvj487OTrVKCoVCuN1upqenCYfDFBQUUFxcTGFhIePj4+j1+py9G51Op6q3ul5MTChGyLlA5jfKv3Q4HLhcrrSqL1vMzs6i0WjYs2cPxcXFRKNRlRqi+F4q4BZBlZieniYajeZsVDwzM7MmrSPT8UQikZxVsIRaUUdHR05JSEHSzlFSUkJhYWFGKbyiIiVhms0Kunt2dpaGhgbe+MY3IkkSTqcTu92uXiPCnspsNmc85r93BZktQeZaQTY3N68JLEq8xu+44w7uuOMOgI0MOMVJuhDoRkG07gf2AkPAjCzLrg3sL2u87iCd4xGZEpsg/6ZKq60VRyt8LrRb/X4/u3fvZnFx8ZhJ/tkSpMvlYmBggE2bNqW1O+fmwlitq+8rqi0RsqzYU+l0OrU60Gq1aoUTiUS49NJL6OvbzBvf+EaGh4cpKChY90GcKDB+2mmn0dXVxaWXXsr+/fuxWhf4zne+o67+Be8yGAwSDofXdF8wmUx8/OMf52c/+xn79r3Kl770JS699FLOOeecpO3E59yIHJrH42FxcZG6urp16RFCDCFVZ9NoNKqVlJDqcrlc9Pf3Mz8/z5YtmwmHw1kl38S+x8fHVem4sbHs3puwmkxzTWDKXC43/qVYYJhMeTnprYbDYWZmFL1VscDR6XTqA1+WZQYHB1V6jYIcnqG5uTkneTXBB62pqcnpOxLHU15enlE/NTXi8TiTk5OYzeacqllYRcamdjtWjzmO3x/HagWtViIQsDE15eakk3rURWh5ebnaWs6khyrOX6I584lQQWbjM7+OUYuSWN+x8gNKknxWkqS/oAB3bMeSLE9sIk6OkchfFMlqamqK3bt355wc4egqSMHf1Ov17NixA71ef1xk4jK1e4V82Pbt25OSYywmMzYWTEqOkM5jnJ+fx+fz0dbWlrHVfPDgQV59dR8PPfQg3/vefRQXF9PQ0LDu6nV6eppQKER7u+InuGnTJr7//e/T2tqG1TrPZz7zGRV1qsyCFb7hli1b1qy0nU4nXq+Xq666inPPPZd4PMbXv3479957b9q5ETqu5eXl637nIinp9fqc6BHz8/MEg0Gampqyngsh1VVTU4PBYFgBHlWuK/kmxNlzkcFbTaa5JbDVNm+yQHu21b1YYLS25iazuJ7CjiRJaDSSOrPV6/UqeGVwcJCRkREWFhYIBoMZj2liYgKtVpvTdwSsGHDLOZPRFbeRcM6tWEGDERJ660U0GufgwQn8/kJcrnKVe+l0xpKk8Orq6ti8eTN79uyhoaGBQCDAwMCAKoXndDr/rijWTDrSR0vzeC0ioeX6DeAxYDzhv3eh6LY+ArwI/FiSpPVbJ1niH6bFGolEVtCLByktLVWpDhvdz0YSpDAc7urqStLLPF5OHIlJ/8iRI4TD4TTDZjFvDAbTE3JiizUcDquSa9lWy5s2beL888/n/vvv54UXXsDn83PeeeeteZx+v5/Z2RmqqqqSElN1dTX33nsvX/jCFxgeHuKCCy7ghhuuZ37eSmVlJXv27Fnz+4nH40xPT2Mymairq+Mzn/kstbV13H777Tz88E+pra3lve99r/o5FUcNKadW3MLCAj6fL0kEPFsIxZzi4uKcWpRC1aarq4v8/PyMkm8ajZaioiLy8vLUiqe4uHjda0Yk01wq5MRFQCpiO9MMN7EazGVRKZLvego7Iu85HA48Hg/d3d2qHF6mFnVRURFFRUW43e4NtXqFd2ZPT09OIiOZqt+1QiBjxfk8cuTIuq8RCVjoG6dzLzXq/NJs1qqLrKKioiQpPMG9DAQClJeXU1ZWpqJjX4vIZGu1UZDO3yNkWf5PSZJ+DXQBm1F4lM1AL4oVViHwTuCo9fz+YVqsHo+HV155JS1ZbXQ/uSQ2WZaZnJxkYWEhzXAYjp8ThyzLhEIhDhw4QGVlZZqcm8MRZXIyRLa3SqwghT5pJnFkIelmt9v54Ac/SFFREd/+9rfp7z/IN77xDb7zne9k1TEdGxtDo9FmXLUXFhbyhS98gd/+9rf8+c9/4sorr+Ld734373nPe9a9uRVHjQjNzauKI+9+97uprq7il7/8VVKb1e12EQgEaW9vX9c1PRdgTmIIibhcZokejyejqo2UQfLN5XKxd+9ebDYbZWVlOByONVfooVCImZkZFdyxXiwuLmZdBGRKkKut2Ja0fdkDdm565iZuPONGykxlG1bYATK2blNb1GIRMTc3t2KZlq/aeK13vSjHo8v5eKampthItWmz2fB6FRnCXOaBkUiEmZkZVWwgNWQZvN44Xm+c+XnQ6SQKCjQrUngK91JI4cmyTHFxMVVVVSumAKMEg0FVsSiTFN6xRLYK8kRLkACyLI8D45Ik/Q9KYnwzir1V4s0dyPTaXOJ/fYKUZYVrZbfbOfXUU48JHJM6s8sUqUIDmW6W41FBCuL4K6+8klFkYHY2zMLC2nNOkaiXl5ex2+00NzenJXNF21TpUPT29qoP7Ntuu41bbrmFyUkLn/3sZ7nnnnvSFh6Li4u4XK4kgfHU0Ot1XHTRRUQiEZ566q/87ne/paqqik996lNZH3qKRuss5eUVaTflnj0ns2PHKrTe4/Fw6NAgfX19WYXfE2MjwJxVibiGda8LpcJQHtLrKb3o9Xp0Oh35+fmcfvrplJaW4nK51Fbu/Pw8xcXFSVWCkLbL5YGuOIHkLpuXWA1mQtw+1P8QBxcP8tDAg1y8+xKWlpbUZJHLbEx8rrVE3RMXERqNhrKyMurq6lhcXFSd7EV1lZoMFKCNh9raupyOx+v1qvPnXBDG8Xgci8WC2WzOefE9PT1NPJ55wZEpolEZpzOG06k8N0wmDYWFSoUZjSoJSwhYNDQ0rAiAKC1fIShRWlpKeXm5eg6PNjLNPP1+/wmXICVJOh9oAupYrSLFKtMHCDSQ/2jf4391i1Wox2i1WiorK48ZObre8fh8Pg4ePEhTU9OaK9VjrSAFNDwUCnHGGWck3cSxmMzERAi3e/0ELJLswEA/09MzGAx6FhYWVtQ9lAfpzMwMxcUK7Hz//n0MDQ1jNBro6NjEpZdewu23f53KygqsVqsq+SZk6I4cOYLBYMDr9TIyMqK+Z6J6yOTkFFarlZNPPpm8PCOPP/44P/jB/YyNjfGZz3wmTXUEUAFP1dXVSZ6Qie8tyzLxeJxrrrkGi8XCZZddhtvtzqAms3o8Xq+X6ekpamvr0Gg0hEKhrNsL2T5RJc3Ozq55rhOFztd7SMsrriECbStUWqqrqxkZGUav12O1WtXEoOx/gZaW1pyu8fWQookV2XrVoD1g57Gxx5CJ8+jYY3y052Oq+0YuyULwXUtKckPRRiIRpqeVWbLgYMqyrPqKJjq1iEXE5OQkJpMpZ7yBxWJBp9Pl1BWAVWRsZ2dnTs+sQCCA1WrNCVyUfR9xAoE4i4tRbLYw+fkSeXmK76XJpEmSwoNVIXrRjs3Pz1fBPrksAhIj1SwZTqwZJKiCAf/Jqg2WC3gBcAI2YBg4CLycShPZSPyvrSDdbrfQ8MNsNq/MoF67WFhYYGxsjM2bN6+LkDuWCjIWizE4OAigyp2JCATijI8HCYVy48FKkqRKivX0dGM2KytA0c6an7fS0NCoqrbMzMwQj8epr28AZMzmAj74wQ/S0dFOJBJJIk8ryiMe2traVqS/5CQFl3g8zvz8PB6Ph6KiImw2GyeffAo1NTX86Ec/5qmn/src3Bwf+9jHkmZGipHsDDU1tczNzancxtRzJMsyPp8Pj8dDKBTktttu40Mf+pCqhpMaIhEo8xW9KkmWLYQnYENDAy+++CKLi4sUFhaSny++j9XEG4/HGB1VfCH1ej2Tk5NpsnCJ29tsNhYWFmhpaUmSiIvH48zOziLLymu0Wg0Oh4NDhwbw+fx4vb4VMfBC8vJMqkh84kM70fDb4XCkadRKkkQ4HGZpaQmTyYTdbmd6eprW1lZV2zZx++/t+x5xfwziENfG+Oaj3+TM0jfS29unLkgyyaqJv09PT1NQUEBXV5e6IFlrESNmuInJXZIkzGYzZrM5STfWbrczMTGO3b6ck7gCKHQkIVeYi9WXmFWWlZWps8r1ugkWi6IZmyu4aL2IxeL4/VpmZyNABL1eSuNe6vV6qqqqVJ1dv9/P8vIyw8PDhEKhJO7lep87UwXp9Xpz4tz+HSOf1eQIMAc8CfxWluXB4/Umr3uCzKWtmRjiQT4zM8O2bdswm834/f7jooCTKQQh3+v1phHys8XRVpCBQIADBw5QV1dHY2Mjzz//vPp/y8tRpqayzxuz7U/MSRMVPBYWFohEIpx99tlqcnK73TidTjo7O5PajxqNhr6+PrXiuuSSS3jzm99MdXU1mzdvydiqDIfDDA8P09bWxtTUpGpXJeTgTjvtdC6//HKGh4f44Q9/yO233055eTmRSIRXX32Vqqoqtm7dysLCArIsqzc9KN+/y+VCp9MxOjrKpz/9af70pz/ywgsv8JOf/Jhzz/2kCt4R2wtZO7fbRVtbu0pBSFVAEX8XJs5CIk6ch+LiIlUXNvE109PTmM1mNm3ahMlkSttv4raRSAS73a62CxOPMxaLEY1G1cWI8r0ribyrqwuz2byiMWonGAxhNBrVtpuYN09OThIMBikvL1Nbb6kRCgVxOJyEw2HGxhTrMKfTmaZx6g65efKVJ4gqRu1EY1GeczzHpt2bME+u324LBoP09/fT3d21ph5u4nGNj09QWlrK/v37gfTFhfK71Q7I9PQMJlMeY2NjeDweBgb6yc83ryTUfDQarbq9LCvKPhqNAoZZXl5W/y/xPRLfZ3p6GqfTSXFx8Yqht6Qu/vLz89O2F4k7V7H5XCIejyeNMDJxL0XCLCjQJC0oGhsbVTUqQScRLeyysjIKCwvTquJoNJpWdfr9/hMtQUaA24GtwBYU8fJbgMslSXoKRav1GRROpP1o3+R1T5AbiVgsxqFDh5AkiT179qirnONlU5UaAhVbVlbGzp07c24JH40ij3A06e3tTWpFKfy+CIuLG+NViopJo1lFdopZSiwWU5Oe2HZ0dBSDQZ+mnpK4gHn66afYt+9V9u17lXe+8xyuvPLKtPf1er2MjY2p5P8XXniB6urqpIpg8+bNfP/73+eSSy5mZGSY888/n2984xvE43FkWaa7uxuj0YjRaESWZfVmFQnA6/WqrhOdnZ2ce+4n6evbzA9+cD8PPvhfOBwOLrroIvX6EC4KjY1NSZqt2WJkZITy8rIkiThZliktLU17SPh8Pubn59m+fXtOc82RkREaGxsyys8JCThxjGLBUFu7K80qSFQJAr0JyvcrwFxiHpvKgxWVt0KJUF6zZcsWzGYzdr+drz73Va4+7WrK8sr41ivfUqY7wo7WBpTCXMUc7+t7X9I+E99L/O7w4cPU1NRwyimnotVq0xYLqduPjAxTXV1NX1+fKlaR+prE7QWHsaurS3V3qampwefzqR0SjUajShG6XG7C4RDNzS3Icpx4PP0YEjshgUCA6elpysrK8Pm8eL3ele5IDIfDsaI5m9w5mZiYoKWlJWewUC6RSfotMQT3cmEBNBooKFA8L4uKtBiNmqSECKgLQGFvZjabVXSs0WjMOoM82nbxaxGyLAeBKyVJ6gA6UOaPPSjJ8n0rP6AkyrdKkiQdjQTd/5oEKeZ/jY2NabOD46WhKkJUKYcOHaKzszNnErGIjQgOJCJiU0XNYzEYHQ3h8Wz8sy0sLOD1eqipqUWv1xMOhxkZGaG0tJTa2tqkG07xhFQ86lJvDFENa7Va3v72s5ienuEHP7ifRx/9A3l5eVxyySVqol1aWmJ+fp6uri7y8vJU8MSePXvSQDwNDQ3cd9/3uOKKLzEwMMBnPvPvfPSjH+P0009Xk1AiTSUWizE8PIzZbKa9vR2320VHRwdNTU3Mzs6yY8d2Lrjgc3z/+9/nN795hLa2NrWStFgsxOOxjAje1Eg0CE5MYNkeUOPj4+h06wNz1tp3tlgLUJRYJdTV1REOh3nuuecIh0PY7XYV5Zhohiw+g1hQOhzL1NfXqw/Ohw88zCHnIX4++jMu3n0Jw54horoVl5wAEIV4eYyxyOi61Ai73Y5Wq6WjoyMnzuby8jJGYx7d3T05czwXFhY46aSTaG5uxufzUVxcnLbAE7qodrudkZFRKiur6OnpobCwcN1W48DAAN3d3ezatStp20gkQkWFhU2bNiVtrwizk/OsMtfYiFBAPA5ud2wFoxDBYJBUV5LCQg1arYTBYKCmpkYV/ff5fNjtdgYHB4lGo8iyjFarpbS0VH3fv7dYQa4hy/KoJEnTwABKonwnCoK1FjCs/AkK53/DD9LXPUHm0mIVEm7Z5n9Hq4CTKTQajerCkYnCkUvkmrAFIlav16chYv3+GFNTEiZTZMOItEgkgsViWRngS2pV19zcnAZkCIVCTE5OUlZWlhF0kfj9hMNhent7Of/88/nBDx7g//2/X2Gz2bjxxhtVwrfQs4zFYkxMKAox2R54paWlfOtb3+b666/nmWf+h+9///tUV1cnJTJZlgkGgwwPD1NXV0dFRQUjIyOEwxG2blUedE6nk7q6Otra2qmqquLxxx9n06ZNzM/PI0mSOktc77sU3EGDwZATgEMsANrb29d92CbyErPtO/E+EEo/tbW1OV2DCwsLGAwGduzYQVFREYFAAJfLlQZqKSgoQKgOmc1mNaGkgnE+sflcfvDOB9Tj2r9/P7Isp0kbZgrRqcjPz8+pzSg4hiZTXpJ251qhcBJXgTbZqiyDwUBlZSVer5f6+no6Ozvx+/1YrVZAcQcpLi5W26UiHA5H1lllpvcSqjy5Ioc3EutVkGtFOCxjt0ex29O5l/n5GhUgVlBQQHNzM7FYjP7+frxeL6+++ir3338/dXV16PX6nOg2f6+QJKkGRWquFGgA2lASZCqKbX3txjXihFbSEULj8/Pz7N69Oys45nh9adFolEAggNvtZvfu3UeVHMXxrJf0/X4/L7/8MuXl5fT29iYlQbs9yvBwkFhMs+5+MsXExMRKxdRBJBJhfHycrq6ujCg/QfHI1h5M/CyKD2KcD3zgg9x1110UFBTyt789zWc+8++qf6NYZU5OTqoi6Gt9P3l5efzHf/wHp556GrFYlJtuupGf/OQn6s0oQCdtbW1UVFSsUEDmqKqqSqo0AcxmM29+85u5/fbb6ezsRK/X8+yzzzIwMKCi/NZauAjkaGtr67qLEsXObIKCgoKczG83su+NUEZglSMpBAckSVKNkLu7u+nsVOaXokoYHDyE3W6ntrZWTWAP9T9EXDFMIC7HeWjgwaRjDwQCSYoz9oCdL/75iywH0sFOs7OzhEIhWltbc7o3hZh6S0tu29tsNjweD01Nzer1ttbDW9FPVfSHKysrqa+vp6enh46ODvLy8lhcXOTQoUOMj49js9kIhUJYLBNZE3YmbVSBdM2V1rGROF7Vm+Bezs9HGB4O0d8fZGIihN0eJRxWvnutVoter6elpYXdu3dzxRVXUFZWhtVqZfv27Zx77rn85Cc/SUKXp8by8jLve9/71AXYT37yk6zbfuMb3xCyfS5Jkh6QJGlNlQdJcewApZ16DfA54J9RWqwiOS4Dkys/z6fuYyNxwibIQCDAyy+/TF5enuou/1qGz+fj5Zdfxmg05szvyhbr3eRLS0vs27eP3t7epGpCoXeEVPL/0YB9nE7nSuWhcMhiMQUgk4keIPiRTU1NWekDAvzhcDhW2oONmEwmtm/fzl133UVJSSm1tXWqWgiszuUUmLtpzSQvaAAf//jHufDCzwNw993f5hvf+IaKwuzp6VE5WKOjo2i1ycIEmc63Xq/H7/fz29/+ll//+tdqghoeHuLIkSPMz88TCASSwDOTk5MUFxfnZGw9NTVFJBLNKQmIz1hUVLQuNUKSJFVAu7m5JWd3CSDrw1m0y1paWujp6cHr9ann5/DhQfrH+3l07FGicWXOHY1HeHTsMZYDy+qxFxcXJ4lFJHIjEyMT6nOtELSOXGkgidVp4sJkrQSZTbJOCIW3trbS19dHTU0NkUiEV155haGhYfR6gzp3TIzU90r8zLlowG40jqWCXCtiMYV7OTUV5vDhIIHA6jhDXHdtbW1ceOGFlJeXs2/fPj7/+c9jsVj45S9/mXW/F154IQaDgYWFBX784x9zwQUXcOjQobTt/vjHP3Lbbbfx5JNPArSgVIE3rXPY4kSILz8GTKAAch4BvgNcCbxPluVWWZb/Y2X+eFQtxhOixZoaNptNNdrN5aY51hDC5ps3b15xpz/urinAaptteXmZ3bt3pyDT4kxMhPB6V997owhfIRqu0+nwer0rQ/e8jA9ZsW1+vmldgn0sFmNsbCzJJcPpVFCQ9957LzU1NeqKWhEjH0Wn09HS0sLg4OCaDy8BGuro6GDbtm1UVVXxla98hV/+8heMjo5yySWXqOdpcXERt9tNS0tLWtsr9TyJhFdaWorFMsH111/P5Zdfzjve8Q5VyWZubo5AIEBBQQHLy8vrCgiI9xAi2tXV1Tkh+wR1IRcQTywWVXmGubTqxHwtF3svQPVW7OjooKenh1gsxu3P3U6qU5CoIt9T/t402kWmdmyZSUmeQp8110pqamqKeDy+IbeOcDjMpk2bkq6pbI4XAp3b3Ny85iJbVN0Gg4Hp6Wl18SrAYAaDQbXxSn0v8Zmz2YMda7zW8z+tVqKtzYDJpHymVLHyUChEXp7yHDnppJM46aSTsu7L5/Pxq1/9ioGBAQoKCjjjjDP453/+Z/77v/+b2267LWnbhx5SDNb7+vqQZdkhSdJXgB+jJLiMkZDoJoB7UcTJZ4HhFVUdNaSVC+RowDkiTqgKUkGyjTAxMcFJJ530midHWZYZHh5menqa3bt3U1xcfFznmYkRjUbZt28fkUiEXbt2JSVHny/GkSPBpOQIG68gZ2ZmcDgcRCJKa7O+vp5sC89VgfGONVt+Go1GFbFub29HkiTm5uaYnZ2lp6eHpqYm9bP4/X4uuOACXn31VTWJpQqmJ4awvaqrq1NJyG9605u4+OKLMZsL2L9/H1/5yldwOp1Eo1EmJiZUQv16oZDBtdxyyy18+MMfJhaLctttt/LAAw+g0+moqKigvb2dvr4+jEYjMzMzBINBpqam1JZituMWfom5tD+9Xm9G+blsYbUuEIlEc2o3CtSk0WjMCTW5an21qj+q1WoZ9YyoVA4R0XiEl0ZfZmBggMLCgqRxQ7Z2bKI4uuhIuCLOrK1YgabNdc66nn5q6vkS50cIgucSMzMzRKNR2tvbKSkpobm5mb6+PrX6nJ6eZmJiHK/Xq5pGLy0tUVOT22c4mnitKkhQkmN7u4GCgtWEmJogvV5vziIBw8PDaLXaJFrZtm3bMlaQhw4dYtu2bYm/OgBUS5K0fgsH9sqy/DlZln8gy/LjsiyPS0poExPjsSRHOAEqSBHhcJiDBw9SXFzMSSedtOELQiAecwW0JHoqJlI4jjciFpQL7ODBg7S2tqYBVmy2CNPTYTJ9jYkozvUiEAhw6NAhotEop59++po3q9/vZ2ZGERhfrw0WDoeZn5+nvr5e5YJpNBp6enrSzvUvfvEL+vsPcujQIRoaGnjb296WtQpOpJaIRBMIBBgZGeYNb3gD27Zt4z/+4z8YGRnmM5/5DBdffDGxWEwV6k7cZ+q/E9Gi+fn5XHDB56ipqeWuu+7ioYceZH5+ni996UtqRSEe0rt27SIWi+F0OtU5mvB4FPu32Wy43e6ceG7yimKOXq/LiTQeCASw2Wzs2LEjp8pUtI27u7tzuu6F3mpTUxPBYFD9vQDjpMbBgwex220UFCjuGwaDgXhenMfGHktrx3588yeYs8wm6aHKsswfrI9y0LYqU5cYG3XrWKs6zZREFhYWCAQCOXtDCq/HqqqqtIQgjLOrqqrU1r/H42H//v2Ew2EaGxsJBAJrWpsdbbxWfpA6nURHh1GtHEXIspz0fhvRYfV6vWnPlOLiYjweTy7bCluqQmBN7qKoJFcUdeIJyfC4Prxf9wQplFIGBwePilIhQkDXc7mQnE5nVgrH8U6QQoFny5YtSQ89WZaZmgpjt0ezvnat6isxZFnm2Wef5cCBA+zZs5t9+15FEJ8nJiYIBJSHoSBET0xMEAqF0Ol0vPrqq0kE6VTS9EsvvYhOp6OkpITHHnuM0tISKioqGR0dTXmdRGNjIzt37uLVV/dyww3XMzIyQnd3t4pmTNx2cXGR2dlZNm3ahN1ux+v1MjMzrVZOpaWl3HTTTdx2221MT09x/fXX84UvfB5JkvD5fOpNLEmS6uQiKlnheVlbW6uev/e9731UV1dz00038qc//ZG+vj7e+973qkmms7MTjUbhjKUKaAuStXDjKCkpyamKTTTjzUW1ZWJiAp1Om1OrLttsMFusVnf1GI3GpASZKcR3kki7CAaD3PHCHcRTxjlxOc59z9zHmeYzk4yHbQEbzy8/n7EVu1FFG6/Xy9LSUlb91NQ2fjQaVee+ucyUYdXrMZfOQF5eHiaTCX2Bnt8t/Y6tmq1qy95sNqvt2Fw+23rxWqBH9XqJ9vb05CjeLzE2IjNXUFCA2+1O+p3b7c644MuwrRjgpmfTLHG0s8Vc43VPkFarldHR0aOmVIgQiW2tVb0Cgple4c3tyNjyOp4JcmhoKKMCTySiWFT5fGtXh7m0eyORCC+//BJer5e3vOUtquqM+HE6nVRUVKj/ttvtyLJMR0e76pQA6aovshxnedmJ2+2hvr6esbExamqqMRiMuFyuNFK1z+dlbGycN7/5TdTW1vKHP/yeH/3ov9m+fQfvf//7U+atEXX+abPZGBkZwe12U19fv+KyIPbp4z3veQ+PPPJrZmZmuOOOO7BaF+jq6kp6aCwsLFBUVKRKpwlax8svv5x0riQJPv3pf+eVV16mpqaG5557jrGxUUwmZfa0KhEHkqRJWjQoCdKJzWajoqKShYVFzGYzhYWFmM1mtFptkqKKsCgzGo34fL40+TmxnfhxOp1YLBaMxjwcDkdGGbbE31ksFjweDy0tLXg8nozbiQUECAUZDbW1teoCI9uDNx6PMzExQX5+fhKKMy8vjwn/eHo7Nhph76G9nLb9tKQH4Q/7f6heX6IVe/HuSxJoHaak/ae6hiSGsnjIrp+aWvWIVmmus1CXy8Xy8jKNjY3rOsKIz2SxTPD0/NMMxYb4/dzv1M8mBByEGIPgo5rN5qNOdMczQer1SuWYl5dbVbqRBNnZ2Uk0GmVkZETliR44cCBN6AKgr6+PAwcO8MEPflD8ahuwIB+D8s3xjtc9QZaVlbFnz55jbiFotVqi0ezVWDYVntQ4HlZV4XAYv99PeXl5mgKP1xtjYiJEJLJ+ZbheBen3+zly5AiBQJCWlha2bduWdiN5vR6VVxiJRFheXqa3t4ctW7auedPFYjH27n2F1tZWGhsb6e3tzYp0jcfj7N+/j23btrFr1y7+5V+UYf7NN9/M/v37KC0t5frrr1fVVIaGhpAkSZWTKy4upqWlRf284sflcjE+Ps65557LX//6FM8++wwPPvgg55//Wd761rep728y5VFcrGhMOp1OOjo66OjoyKjAUltbp4IMLBYLkqS4JCTqbApFH7EAkGVFfs7pdNHQ0EhDQz3RaAy/37+iZTqFVqu4c5jN+eh0eqzWeex224pptBWQcQc9/GTwJ/xr779SZCxKOn8KX1HGbM5ndHQ06/cCSiU3MTFBWVkpY2Nja24LSsdkfn6eurpaXnnlFXw+L4FAkJmZGXUb0TnQaDTYbDaWlpZoaWlh7969SQuFL9R9EepE8lVes7CwwDxzRCJh/va3vxGNRokbYjx6+A/E4lGQIEqE39v/wBvNZxJyBZmft9LR0cHk5KSayP/r4H9xYPIA34nezae2npeweHAwNTVFc3Ozqi2buiBwOp1oNBoMBoMqoScQwz6fL22BodFoGHOMcslfLuWbb/0m/hkfev1q12Gte0Oo9iw4F3k58DLkyUkVcqKAQzQaVav3yclJjEajyr1cLxG/FmEwKMnRaMz9ebuRFqvZbOZf/uVfuP7667n//vvZv38/v/nNb3juuefStv34xz/Oueeey0c+8hH6+vpKgWuBB3M+sL9DvO4J0mg0EolsTEYtU6xV+fn9fg4cOEBDQ8O6845jrSDdbjf9/f2YTKY0CsDSUoSZmczzxkyxVrK22+3Mzs5gMBjIy8tLolmkhrjhLRbLCgAh+7YiLBYLMzMzVFfX0NzcvKaLxPz8PH5/gJ6eHnXhcdZZZ1FaWsqVV16BwWDAYDCoDzKn00lTUxNWq5Xi4mLq6uoyHk80GsXpdNLa2sLXvvY1HnjgAR544Afce++9uFxuPvOZz6hcyZKSEqxWK6WlJRll3FLD4/EwOTnJE088wfz8HDfccCOnnXZa1u0XFxdpaWnmjDP+KWOXIhgMqia/Ho+HeFxm585dbN26uhC586U7mSyZZNA8yMW7L1YTuEBybtq0ieXlZdrb27NW9qCAG9raWtmyZWtGSbbE10ajUfr7+2lra6WzU5Gwc7vdeL1etXoTr4nH44TDYebm5mhoaEiy+UrcJnHhEAqFsNlslJdXUFNTQzyuSLH9ZOCnxEOyIlEHIIMsyTz80sNs1mzGZDLh9/vx+RQetyvo5umDT4Es89SBp9idt4ciY5FqxyZJEiUlJWntOxEOhwOtVsvCwgIzMzP4fF50Oh0HDx7M+p3e+eKd+AM+rrr/Ks6pOoe6ujpeeumlpG0SFw5ikWC3L7O0tMQR4xHkfFkRck+okBNDp9NRWlpKaWmpKnrhcrnUe7GwsFAVcHgt5oyJYTQqydFgyP4+mRYHGwHpAHz3u9/lU5/6FFVVVZSXl3PPPffQ19fH1NQUvb29DA4O0tTUxNlnn82XvvQl3vSmN4HCWfwVcMNRfbjXKF73BHm8IltiS6Rw5MLL0mq1R52w5+bmsFgsbNu2jeHhYfV44nFl3ri8nL3CzRSZAC6iTezz+WhoaGRwcJC6urqsKzxJUqoyIc3V0NCw7sXudDp5+eWX1QXFWsk0HA4zNTVFWVlZ2qxnz5493HDDjWoVLSolSZJwuVw0NzevOT8Ttk0CaXveeedRVVXJ7bd/nZ/+9CcsLi5y+eWXq8CahYUFmpqaclbMycvLY9OmTUxMjHP11VfzxS9+kX/5l39J2355eRmPx0N3d3fWFn4iiKO//yBFRYq3YSq4RSbOY+OPce4WpdoIBoNYrQplpKKiAq/Xu+ZiZGlpiXg8Tm9vX052UxaLhcLCwqQZuNlsxufzZUS+Dg8PU1NTzY4dO3Oy1hoaGqK5uTkNmX33/N3ENcn3Y4woE94JTq85nT179lBVVaUuqO586U6FCRcFtHDIdIiLTrpIdZjp6elRKRaQvnCwWq0YjcaVGbVX9QfNtnAYd46zZFoEI9gXbJgqTWzevDnpeJMXBSS9V5gwLwZeJKpLBislzllTQ5IkTCaT2lqOx+N4PB6cTiczMzPo9XpVxP54g33y8jR0dBjR69fe5/EwSy4rK+ORRx5J+31TUxNeb7KwzSWXXMIll1wCq/PHDYUkSVcDrwJ/lGVZliTp/weMyrJ84Gj2lxr/sAlSoCRdLlca53C9/awHYEiNeDzO0NAQwWCQPXv2qPSGWCxGOKzMG/3+jbdtUytI0dsXAs379+/PKDCeuo9oNMro6AgGg2FdAILf7+fJJ5+kvLycU045BavVumabV0iZZeP41dbWqg/B0dFRvvWtb/Hud7+bd77znWvSHkRCr6ysUO244vE473znOZSXV3Ddddfx5JNPsLi4yCc+8XHicRm9Xk9NTY16k2d7wFitVnw+H52dnZx88snU19fzX//1AHfd9U3m5ua48MIL1deKCsZkMuUEIFNUXlbBLaLKSgS3xOMxvr/3+3zp9C+tkPylpFlZtlmcot5jyVm9R6AyKysr0wBimc6N2+1WDaJzSY6JHMzU++sH73xAlTwUsyiv18v+/fspKSkhGo0yPDyERqMlnhdfESqIggaicpTHLY/zkd6PYLVaVdDUWuHxeDCZTCvek6UZUdaJcfmLlylYSSdghMdCj/Fvjf+27mcWyk4jhhHkuFI9ishWRWYLxSGmWF24h0Ih3G63iqAWYJ9jZCpgMinJUadbP+HG4/E0YJHX6z0RzZKF+PgVwHeBP6MgWB8E7pYk6eCxUjzgBONBHkskJshwOMzevXsB0la2uexnIzPIUCjEK6+8gtFoZPv27erFpdVqcbujHDkSPKrkCMk0D7/fz+DgIaqqqmhqalIFxtvbO7LOU8U+Zmdn8fsDdHSszXl0OBy88MILFBcXs23bNjXRZzsfQomnsXFtJR5QHizf/e53GZka5pvj32Tv4b1Zj0OWFbNio9FITY2SZIQHpEaj4dRTT+Xuu++mpKSE/v6D3HXXt3A4HKq8HKBaR0Wj0YSZYrqqjSRJnHvuuVx11dVotTp+8Yufc/311xMKhYBVYvp6lTRkBrdIkoRP9vH0/NOrtlFylD9P/5knnn2CgYEBzGZz0rw5m0qNkDPLVcLNYplAkjQ5AVUEZ3AtrdhM2xsMhqwczNTnk8ViwWAw0N3dTWNjIz09vbS1tfH/Jv9fRqGCe/5yD/F4POfjt9vt+Hw+dZ6dLUYcI1jcFqVadQMmmApPMuZYf547NTWFLMvM6edUqouIaDzCwNLAuvvIFkajkcrKSjo6Oujt7aW8vByv10soFFLVnwTAKtfIz889OYKyCE89dyeg1VViuAFlyK+EC7Aej+QIJ0AFebzaCCJBulwuBgYG2LRpU06r7NTYiFCAoIt0dXWltbtcLg0OR5CCgqOXyBMPzeXlZaanp9m0aRP5+fmcc04ch2MORW1plVdZVibz+98n37SRSASbbYmKisqs7UxZlpmfn2dxcVFVDEmV8UoNUVnl5eWtSVKXJIloNMqLL77IKaecgqXOwmLFAlf9/Cpu8X2VN7zhjWmvsVqteL1empubiUQixGKxJJCFYnqs48Ybb+SOO/6T6ekp7rnnu0nfg0iK8Xg8KcFPTEyoRPDEOPvss6mqquK6667lb397mj/+cTdve9vbmJmZpqKiIqcZzMzMDJFIJI13l0isXz2ncf4y9Rf+ufXdVFZWMj4+TjQaZTm0zKNjj6ZRIwKBALOzM2nVYLZQuHrZFWRS77vFxUV8Ph+bNm3KaRa2uLiYRI/JFInIUrvdrvJHEysUvV7PuHcsHRkbjDAw28+76s9ZE3Grbh+NMjs7S2lp6bqt55uf+YryF8G6W9Ej+fKzX+ahdz2U9XUejwebzUZlZSXf7vp2TiObow1JkigsLFRntW1tbbjdbvV7EsCyoqKirG1/s1lDe7sRrTb3Z2w2q6uNzCD/HpGQAM2An9UEaUbxnjku8bonyOMVOp0Om83G1NRUVgpHLpErSGd6epqZmZm094rHZSYnwywuQmnpsaFhJUnCblcQz729veqN4FBXuh1J2y8vp98IwrUhm9WTmAtqtVry8vLw+31J22ZD0grlmc2bN6/5QI3H4xw4cIBAwE/vzh6cYacCatgU48ovX8Vln7ssae4nJOKKigqprq7m8OFBLBYLpaWlFBUVEYvFVvway+no6ODyyy/nG9/4BhbLBBdeeCFf/erNnHTSqjNKol2PgN4Lke5IJKLSMyRJYufOnXznO9/lscce493vfjdHjhxWK7C1xJmBpASWqsd5yDaQXm24ooxHxul+R49qQRYIBPjp336qVlPxeIz7Xr6Xy069XK0GU9vpmdqxorrLVUEmFosxNTWZs7xdNBpVnSvWSkaCvC9oHfn5+Rn5o5mECgYGBvB43DQ2Nqm6uWazmZKSkoxWVVarVRULX2/RPeedhzCKz0MhsJJf5jxza75OOIhUVFS+5oAaEWKRodfrKS8vp7y8HFmW13RrkSSJggINbW0bS46QrqIDJ2aLFVThciPgW5k/6lEsro7JwSMx/iESZCwWY25ujmg0ysknn3xMuoXrJch4PM7g4CDxeDyNLhIKKfPGQCB+zHSRWCzGwsICGo0mye1DSZh2FF3ftedECtnbQ2dnZ0adznA4zPDwMBUVFeTl5TEwMEBjY2NSws8EFAoEAszMTFNZWZnRIUSEoEEogJAGHrf9Ua2kNFot8R0x7rjj6ywtLamIVIHua21VlGq2bNmqkvWnpqYIh8NUVFRQUlKC0+kkEAhw44038sMf/pC//OVJLr30Mq666krOPvsdScciSRKTk8pDuq2tTf1+EgEYGo2SgC644AK1AissLGRoaEh9MGWLbAkM0hNAJBJh7969FBUVJckpOsNOnl9+PqkV++TsX9jz8sksTS3R2dlJOBxWRRcguR0rZl/CHaOnpydjskj9HNPT00QiUbq7c9NDFRzDXPRTJUliZmaGUChEX19fTh2jRBGBRKStz+dbEWtQrKpKSkooLi5W0auNjY05iYX/+V//zMDAAH6/n507d+ZE5rfb7aq1WTAYPO7E/WyRCTQjSYpurHBsicViuN1uVTe2pMTAtm3lhMPlG+aWZ0qQfr//hEyQKMlRj1JBJv77H6eCPNYLTVA4RKvhWEV910qQwWCQAwcOUFNTQ1NTU9Kxu90xLJYQ0ajy8DmWBKlIro2oK2Vxg4jqSUmMNSgIAYlVgfvVUATGFRJ8plW78IhsbW2loKCAffv2YTQa02gwkiSlnQ8FiapZ8wHpcDiYnp4iHA6h0UiU1pXy6BOrjhFxKYauT0dsf1yVoXK73VitVlWbU/DViouLicfjuN1uNm3apPIADx0awGTKp6+vj+uvv56qqkoefvhhbr75ZhYXl/jYxz6mfkdK29ZHV1eXWomLa+Xd7zbgcCQ+hOLAIQoKiqiq+k+mpqa44IILeMtb3pL1s4p2Zi7zbovFgiynC3T/aPBHpHKAZDnOk5Yned+m99Lc3MzS0pJajcXyYmmi4YW6wnXdMRLbldmAPNkiUY5tvYemLMtEIhEWFhay6qdmek0mEQGlKlJ8C+vr64lEIur1MjQ0hM/nVcE/6yW8jar4JB5TVVUVFovl715BrhXCraW0tJTCQg01NYoZ9vDwMKFQiJKSEsrKypIMkLNFpgS5EaGAv3MYAS3JCVIL+I7XG7zuCRI27lohYmlpieHhYfr6+ojFYuu2wXKJbIlteXmZw4cP09PTkzbLs1ojzM2Fc9rPeuFwKKTo9vZ2IpFIkobh1NQUw8PDQD2QSLyV1D9feEFpa1mtVux2OwUFZvbv34/ZnI/gcwn0YXNzM1NTUywuLmK1WunoaGdkZCRJiUV4KIZCIZXHODExQVNTE4uLi2mE7U99yoDTqUHBf9UCS0AVBnMB8Q/EknO6Bk7/3Olc8PYLVoAIhwEF+Srac5KkENGdTmcSzSIajVJdXUN9fT1Op5Pp6Wne/vazMJsL+MEPfsD3vncfCwsLXHyxwjecnLRQUlKcsYWYnBwBZoAgXu8W3vKWLYyPj/HtbytAoE9/+tNJCyPRzjSZcmtnJkq++fFzxZ+vUNujh+2H02dxrihjkTE63rGJ0tLSpBbbf754BzGBjJVj3L/vft5X+b6MyRdW27Ff7PsihVolGW4EyJO4fS5yeIISodfrct6/qH6F5m62EC1Hg8HA/Pw8+fn5aDSalQVkdiPk1WSX3Zw5tW09NzdHKBRK0gF+PSvIbFFcrKW11bCymDDT2Nio4jKWl5dVNaLy8nLKysoyKvtkS5AnKEjHhPIkCWT59zHHCZEgNxoC5ehwOFQKh9PpPC4ScZnoIpOTkywsLLBr164ktGY8LmOxhHA60993owlSlmXm5uZwuVzqvNHlcqn78Pl8zM3N0d3djUIYkzP8xKmqiuDz+QiFQjQ3N6PRKEoxJlO++h7hcGilzSjh9/uZnZ1Vq1WPx6NKzcmyAuUPhULE43G1gtXptPj9ftWHcPV8xHE6EysoC8q1aiTsG4f5lIc/UcZcY+zbtw+bzYbFYlFnTwUFhciyrMp11dRUqxJsCm1llMLCgiS+mM/no7Gxkfe85z38/ve/5ze/eYTh4WHe9a53EQj46erq5siRI8Cqmory2jxWs3YEOAQUA14+9KEPYTKZePjhn/KjH/038/PzfOpTn8JgMKDVapmfn2dpaYnu7m7cbndGqbfE3w0PD6PRaKipqeHbr36bA9YDPNj/IJfsuYR73nYP09PTdHQos2XRii0uTm7FSpJEQArwN+v/EBPt2HiUPw79kfKxcrpauwgEAuj1+qQKSbRjf2H8OZ/qOm9dIE9qOJ3ODW3v9XqZWpjib5G/cdv2bkys3e5L9IZcq3WfGAoyVk9lZSXV1dXk5eURjUazAlpsNtua7WdIblt/fvsXmJmZSTqm10o8PFPk+l4lJVpaWgxpn0mr1VJWVqYu6kOhEHa7HYvFgs/nU7VqS0tL0ev1WRPkCdpiFbMgwcszp/z7mON/XYIMh8P09/dTWFiY5PpxvDRUE/cTi8UYGBhAp9Oxe/fupAs1cd6YKTaChhV+i3q9PsmZQdA8BKdTp9Oxc+dOyspMGQE5ZWUyra2KK4ogbwt7ILPZzMjICF1dXTQ0NKjn7dChQ3R0dGSlwywvL6uJRyiabN26lYKCgiQCtphnKnKKccCGcp22oLSDZR696LE04nY8HicUCuF0Ojl8+LDqdv+lL32JQCBAa2urKkAgXjM+Pk5hYaFaUSYSwIuLi6mtraWjo4N77rmHw4cHmZub413vehcul4tIJJImaaeMLcQiYxJFK7kImGBkxENJSQnvf/8HeOSRX/Pkk08wOTnJm/75TTx06CHeXvg2GioaVY3ftWJV8q2Ovz73Vx574VGQZf4w+3t6fb3ka/Ox2WzY7XYkSbEVU9rKHWmi8j8/8jNi1oSKHIg74rxa9io7+nYwODiI3+9X0ZCyMc4fXv4DshznCfcTnKI/lbA7rJ63+fl5ID2pJyb3Q4cUCoPZbM6o/5q86IDx8TFeWn6JobwjOfEDN+oNqXBOlbmgOJ7E6q+1rDUJ0DI8PMzg4CCVlZXqdZOaUFK9Ls8seBOxWCypAs6l7Xm8IpcEWVqqpbk5PTlmCqPRSF1dnSqi4Ha7V+QSpwHl+Sc0mhMXnidoBWkGQqwmxHyUFW7oeL3B/6oEKWTcOjo60uZqxytBioenmG02Njam8cJcrigWS5hYLHtbWBD014tgMLiiXlKTRksRx2K1WvF4FLCNTqdLo3Ikxvx88rYajYZgMMjkpIX6+oYktRubzYbD4aC1tTXr7Ey0lHw+H/Pz89TU1KQBIfx+P6OjoysPtjwUgtkcUA5sQjzBS0qS29AiQR05coTi4mKuvfZarrvuOoaHh7jhhhu46aab2LVrV9JrnE4nc3Nz7NmzZ03Rg76+Pnbu3MkXv/hF7HYbTzzxBLt27VJbcaIiUEAMorJxoGScFqARiFNe/jJ79uzBaDRy5plv5JprrmV0dAS7005YH+KF0Ivc85ZzkxJ14nkTC5xoNMrBgwdpb2+nq6uL+/d/H8pQqM0SvOR7iX/t+lcAqqqq8Ho96oO5oqKSSeckX3/h61x2ymXUm+uxuC1q9UgcCEA8EGMprowZTCaTWk15PB5+u/+3xNwr7Vhkfvbsz9hdupuGhoYkgfhssby8rCoxDQ4Orru9y+VicGSQfls/5MHv539Pr6+PImMhydJtyk8oFGJ8fIzy8gqGhoaStF5Xk6+k/hsUFR+tVktVVRXT0wo/8cdHfsyByQPcHbqbT277JLCa9H0+H3l5eZSWljI0NKTaU4nq0mAw8L393yMeVBYesXiMn77wUz77hs+mINVfO3/G1FgvGZeV6WhuPjpNV0mSkoQKIpEIR44cweVy8dJLL/GnP/1Jneu+Vl6XxxhlKHNHceOVoqx2NyZZtkacEAkylxnkzMwM09PTbN++PePAWNhdHY8Q5sZ9fX1prZ75+TDz82tL0Z1+uh5ZTp9HSZLMs8+uvlZoMra1tWVcoWk0GkKhEEtLS2ncxEwRDodXKBJF6rbBYBCbbYnu7p6kmzwWizE+PkZ+fv6aszNRxYoKNnWWtLy8zMzMKkdTiSkUHH0vmQBEsCoK7nQ6sdmWaGhopL6+nltuuYVrr72WI0cOc8011/CVr3yFU089FVilpOTlGXMisxuNRi644HwefvhhRkdHVfusjo4OVd5LUU3ag5JlRlGSZcPKcWvp6+tT24nbt+/gvvvu4+E//5RHwo9ABGzFS/iMPtpK2pK4l+IzChqJkHzbtm0bQU2Qvzn/h2jBSnuUKP/j/R/+verfqZPqaGlpob+/n6amJnbu3IlWq+Xm332FYFmAHy38iIfe9RA/7v1J0nf56quvYjQa2bJlS8aq6Hbb7ciFK/SRWIyh2SHeXPFmVYJOjA4Sk3pid2D//v1s2bJFdVJZ6ycajXLo0CEmtZNK8wDldL7ofZFPtH4i6fwkdkhkPfxq4Zd8pv6zFOoKU/YbJxpd/ffi4iIul4umpiYcjmWcTichwvzP4N8gLvP0wFPsMe9RReFDoRATExMUFRXh8/nUa9vjcauWZ96wlz9P/1ldeMRcUV4pfoVLKpMr379ni3WtGWRFhY7GxuMneK7X6zGZTCqgx2Aw8Nvf/paZmRlOOeUU3vSmN3HWWWdxxhlnZETFp0YoFOJzn/scTzzxBMvLy3R0dHDLLbfwjne8I+P2kiSdC/yA5Bniu2RZfirLW8wCdwILK//2oCjquLJsv+E4IRLkWhGLxTh8+DDxeJzdu3dnRZ0djwpStO9CoRBveMMbki6CWEyZN7pc67+HLGdLCpL6PvPz8ywvL9PT05O1etNoNMzMTFNQUKDOpdYKi8VCPB5TnSzm5+fxej3U1zek8UInJycJhyN0d2efxYhjWFpaIhQKsWnTJvX8J85Me3p6E2ZSPpTrtoZs8oriwRiLxZiYmMBozKOxsZGFhQXsdjt33XUXd955J3/84+NcccUVXHHFFZxzzjmq3956MmLAiszZBPX1Ddxzz73ccMMNPPfcs1x00UVcf/31nHnmmVRVVSkPa5MNAgGU+3IzqsCUyYZenzx7aWhoYF/pfjiCcvcUwZV/uoJffvhX6jGlihQIg+qamhry8/O57+X70oQD4nKcHw3+iPdVvo/FxUW8Xi+bNm1Cq9WuKr8AFtcEY44x2ktXuapCoKC7uzvjd5kmVOBU/hgvGedN+jexsLCgmkMLLdDEOdTCwgJGo5HNmzfnxC+enp4mro9zKP8QcYNyv4hFwOerPp+mVepwOFhaWuIVXmEsNs5z4We5eFv2dqyYzTY1KWo8AIWFRfzB9QdokpS1jkZKEoUXmrjbtm1Tq/3UVv/dr9ytNOhiKE26EMglMj869CMuO/Uy9f3/niCdbBVkZaWOhobj7wYiZpCSJLFjxw62b9/On//8Z/7617/y9NNP85vf/Ia//vWv3HzzzevuKxqN0tjYyNNPP01TUxOPPvooH/zgB+nv718LtPW8LMtn5HKssiyPAJcl/Ptl4KxcXptrnNAJMhAIcODAAWpra9NoFamxkZlfphCuB3l5eeTn5yclx2BQmTcGg8dG/IdkYn4ivzFTKPOBZbq7e9ZtcTidThYXF2lsbCQvL4/R0VG0Wi01NbVp5020S6urq9fljUWjUWZmZmhvb1Pb2qedpkepsFJnRTKFhYN4PLq0/ysrk9XPL1pUYuXe3d29wsVTHvJarZZrr72WyspKfvSj/2ZiYoJgMMjU1JRKll4vLBYLsZiiEWsymbjlllv4xje+wW9+8wjXXnstF110ER/4wAfQaDQ8+Xs9e/ceXDG4nUKWFe9GRbSgSCWnazQahu3DTM5YlAdpJaABa8jKDx75Aee99zxgVV5PJJmhoSH0ej1NTU3KXHspg3BAPMKgfZD3lL9HJeELxK2q/LISiYovgUCAubnZNWkaSUIFKwT5eGGMEd9wRnPo+fl5tFotJSWKhZjValWT+3oRDoeZmZnh2eVnIW99rVKBAg5LYZ52PJ3RXDk1JicnVyToVq8xZ9jJ4+OPq58zGo+oovDasBa3201TU9OaYJPRwAgxQ1Rp2DmAfOU87bPuY3BwkMLCQkpKSo46Qa7ld5ktMnncVlfrqas7eoWu9d4vFaQjKDbnnHMO55xzTs77MpvN3Hjjjeq/3/Wud9Ha2srevXtzRjW/3nFCJMhMF5vNZmNoaIje3t6sfK719pFreL1eDh48SEtLC3V1dUneZU5nlMnJteeNG4lDhw5RWVmpQsyVdmymY4/yjW8oWpfrtRNF0jUajVRVVTE4OEhFhWI/JEjVIhIBP7mAIWZmponFYnR0KILT4XAYRawiUyxw3XVKK6WmRgbC6sO2srJyxQpJSY7hcHgFsViMzWajoKCA5uZm9XuUJInzzz+f7du389WvvoGHHx5CGS/0IAQSSktlfve79Hm8EDqvq6tT2/E6nY7LLruM6upqvve9+7jrrm9itVq58MILVfm5SCRCVVWV2p4WBGy73c7k5CQmk4nr912nVGAmVjF0wH9ZHiD2vRj//u//nnQt2mw23G437e3t5OfnE4/HeeCcBzKKFITDYV5++eWk7yaxehSRWEXmQrtIFCoYGBhgdnaWbdu2pfEMCwsL1SQbDodxuVy8/PLLuN1uampqcLlc6kIhW0xOTgIyM7oZosEU1HIGrdL5+XmCwSDPB55DlhR7rLVEv30+H4uLiypXVsTv53+fsSp/sP9B3mJ8y5qasannaWlpSTX8FYsUwcNdXl4mGAwyMjJCSUkJRUVFObUbIbOow3qRWkHW1OiprX1tkiOkJ8jjJGkKKJ0IQctbI3ZIkmQDloH/Bm6VZfm4zRQ3GidEgkwM0eZcXl7mpJNOyvniO9pYWFhgdHSULVu2qNWUmLtZrVGs1mP3qkyM5ubmpKotWzsWZgiFgtTV1a3bTpydnSUQCNDU1MTw8DCtra1pn0XE6acvo7QSO0l8wqfOR0GpYJeWFO3J/Px8fD7fipnv7gxHEQUmKCwsTAJQJSJxE7mNExMThEIhDAYDNTW1WSXLTjnlFBwOFwqfsoVE9SCHI7NKjEAEp4J4JEni4x//OFVVVdx226387GcPMzs7w5ve9Ga0Wg2trVuTZs6JBGwB3LL+YWXBkbhmk4Ai+OEDDzE3N8fVV1+NwWBQW8hms1lNRpkk8MTP8vIylnkLfwv/jVu33YpZNqdVjyK+/OyXueuMu3A4FG/NXAQKRLKur69flyAvaCxFRUXqnNLlcjE7O4ter1eBLYm0p0SO53+d+l84HA6CwSC1tbUZ30PQOqQ8+MvkX5Oqv2xV5MTEBFqtlvyKfL745y+q1diEbzxjVb5/fD+nNJ2Ss8ZsPB5XHVMSr8lEYJfX66WxsRGXy8Xk5GSSr2NhYWHGxXoqOnatCjkxEmeQdXV6qqtfu+Qo3i8xQQYCgeMC0IlEInzkIx/hE5/4xApVLWP8DWXGMQn0AT9DebDcmrqhpJxkSZbluPg7ikTr8cvonGAJMhKJcPDgQQoKCti1a9drOggXlVRmOywtIyMBfMdNj2E1cpHCUoQhpqmqql6p2LJHIBBgenoKjUaD0+mkq6sr6aGVqISj+FxOoMwGk0nSqYlanB+j0Uh5ebkKxuns7MxyJBYgSkdH8hzsU5+qw+lMvcwcmM0OLr88Qmdn55oQciW5J4Jn1o6FhQW8Xi9dXV1Zk8DZZ59NRUU5V199Dc888wxjY+Pcdddda3LvBP/y5pO+qpoJC/Nnv9/P2NgY38n7Dk888WdstiW++tVbcDgchEIhOjs7s3Y4NBqNKsiwb98++gP9jGhG+OHAD/nizi8quqEZYtY9y8TE+mLxIsSDPz8/n/LycvV4srX9EtVjhKG1uHZDoRAul4vp6WnC4TBFRYoOqNAqFR2P9VqR09NKd+J/wv+TsfpLrbQcDoeqgPPjwz9Oqsau6b6W3t7etM+8d+9e8vKMOWnMwqpjSqrgfOJ5kiRJ9f+srq5O8nWcnp5WBf+Li4vVBX7iHHgjtliigmxo0FNZ+domR0hPkGup6Jx55pk8/fTTGf/v9NNP55lnngGU7+FjH/sYBoOBu+++O+t7y7I8nvDPfkmSvgxcToYEuZII5dS/H+84IRKkJEkqhaO9vT2rwsXxCpGICwsL2bVrV9KNEAjEmZnRIEnhDdlkJYYkyRkrQ0nK9TscApRqU+EWrtWKPcKXvrREe3s7vb29afODRLHxiYkJFATCpnWPQNhptba2srS0hNVqpbe3L0vS8aDQOuqSbiZZljMkRyXh+XwFnH769nVXp3Nzc6SBZ7KEAOYUF2dWzEmMk07azSWXXMKdd97J/Pwcl19+OXfccUfWakeZlY2rLW+dTkdFRQUVFRXIskxraysVFRV87Wu3sX//fn7961/T0tJMTU3tuhJrVqtVqYzyNbwafhXMMo9PPM4nt36SP334T0moUkmSVIECi8WyJuE9MYRt16ZNm1R+JGRv+83OzmZVtBGtfAFy8ng8jI+Pc/jwYVpbW1leXlbNjbMdm9/vV2ebw0eG1rWOSlQs0hXp0qqxbJ9ZJLtcIhKJMDMzQ1lZWdpCNvE8nWU+O+n/Mvk6ulwuVTs4Zoit+F3mbq4sIh6P09ho+LskR/F+iYWJ1+vNmiCfeuqpdfcnyzLnnXceCwsLPProozkJTCS+nCwweEmS3gm8F0VabhwYAMaAecAhp/qnHWWcEAlycXGRoaEhtm3bdkyKDaKdt1bl6fF41EScyqV0OKJMToaIRo9NaPzZZyP4/X4GBvppbGyipqZmAzPSBRSIpIm9e/cyMTGxom4jgDEaVlVf3MAUgYDiTNHf349GIyFJGpW07Xa7CYVCLCxYV9qjDSjXUOq+NMzMRFT+5sBAPwUFhUxNTREIBNi6dStut3vl3BoTXg/Qj3It1xAOh1NUhAwkX+MziISXSe0lMQQwB6pRKE/pIWZFoMy/YrH1ieaije/1ern22mu5//77GR8f47Of/Sy33357xhaQUpn66O7uTjvef/7nPBwOE/C2lR+4//5DmExL3HabD4vFogJ9Uuc709PT+P1+dDod/7PwDBQqwBalyniIy05RQHqJrdhgMLhCGylQDXXXur5CoRAzMzOUl5dTXFyM369IV2Zr+4lEUVq6vqKNRqOhsLCQaDRKb28vnZ2duN1uJicnVZ5hfn6+6jIhQrRKGxsb+UFbuptHalitVlUB578O/VdaNZaatARYqLy8nIg+ktSOzRZifprJMSXxPJ3Sc+qax5q6gLj9udvJ5HcpFJTWiqqq+N8tOYpI/J6OVYf1ggsu4PDhwzzxxBPrLoYlSXoH8KosywuSJHUD1wG/SPh/zUpL9W3AAyh+fyPAB1AeSvMoD6NnJUl6GXhJlmVP6vtsJE6IBFlcXLwmhSPXEFzIbAlyfn6eiYkJVQlGhCzLzM5GWFxUVnjH6sTh8XhW5mCGrBVJ5oigLIYagFZaWsLqbFFZKClycsqfUWAaKGfbtlb1cyjVRpx4XFkRh8MhvF4vs7OzK61WA7CYsi8lLBZlFj4zM4PD4VjhRJXi8/lViTYltKwmPTuKX2kDsJcXX4wmVDuwmkxZOeZRFI8hIy++OIfP50On01FYWMjXv16L1yv2rUFpB3tRBAeOrPxOfLfK3y+44AIuvfRSWltbGR4eprq6Gq/Xi8/nS1J1EX+XZZmpqUmsVkVAu7e3lzvvvJMbb7yB/fv38/nPX8iNN97Iqaeepr4msTLNNCtNn4UuA3YCgXbKy30cOXJERerq9XpVuHtmZga9Xk9+fj7js+O8FHyJqEFIx0V4bOwxzt16LhX5FWorVvmeLAC0tbUnXaepSjYixIM/ETkoSRIP9j+Yse03OTmJLCejRNcKUZ12dnZiMpkwmUxUV1ezsLBAMBhUXSaMRqOa0F0uFy0tLTlVFNFolKmpKUW0Pi/OY2OPpVVjqUkrMdl99+B31wXHZAP/QHp79FHro5y6be0kKUKj0TDiHk7X2I1H2DvzCpPVk+o8N/G5JUnQ1GRgdvbvx7nMFMciMzc5Ocl99923Yny+2hW87777+MhHPsLU1BS9vb0MDg4KvMBbgAclSSpAqRR+BNySsEsNykPrvSi562PA8yjWRtuBk4Fu4BSUh8aFwD2SJGllWT4qisMJkSDz8vJW5mPHFoILmXrTxeNxhoeHCQQC7NmzJykRR6MKv9HtjqXt52hCCH93d3czPKy0St/1Ln1WabjkduwEShLZgSSZaWiIsLxsX7l4Utu9oyiV1Q56e7MDmVwul6pU09PTwz33ZErYSgv/1FNDLC8v4/F4KCoq5KSTdpOXl8fIyAidnZ1q4vvDH5SWXygUor/fRV7eJrq6utQKR5w7pbVrYDUZjwAlKEhUPa2tynEHg0E8Hg9er35luzgKVNS28hnDKGpSybqzWq2PYDDACy+8gN1uIxKJUlxcvFIpp0c0GmV+fh6dTofT6aSiokJN/O9//wcAif3793HVVVfzL//yL+zerYCRFhYWcDgcdHR08OKLLyapuigPr0QtV1Ba5BqgjIsvvpylpUU+/OF/5eyzzyYSiTAxMYHNZkOn01JQUMDc3DzPu55HjsZXRbIkiGmj3PvMvVyw6wI1+fn9fiYnJ1XwljjXie1MAYTSarV4vV5sNhuNjY3qPEyWZRxBR8ZE8/7WD7C4uEhdXV1O4IzESi21LSlJii2ToJEEg0GcTicvvfQS8XiMxsZGPB5PWnWZGmJW2dLSwn39mTmkiUnL6/WqYCGf7MsJHGOxWNSKNjFE9Zh4np5ffp7lwHLOVI1MfpdAErVmbm4OrVZLcXExJSXFdHUVUVamY3o63cD4tYxUjMuxJMjm5uY1UbBNTU14vavWjbIsX0YCr1FEAghHrBTKgGeB365UiOPAEyvbGoEtwDuAl1a2P+pq54RIkMcrtFptmrxbOBzmwIEDlJWVpQ3e/f4Y4+MhwuHkLzEXZZ/UECCIaDSaZiKcKTmK3z/3nALCcbvdHDw4Q319Pa2tBpRqMlt4UboJdSjVWDKQJzkhK9JeUE1ZWU2W+aiEJCmfu7+/H4/Hw7ve9S7FUikWw2g0ZgTSDA8PU1BQwM0378HpTG/DlJYmjhCWUYA2vSgybtDdnaopLMBFcWAvytxxF6Dhr3/1ZFz4/OUvN9Hb28vY2Bjt7e3qTDCRAC4QqOPjY5x66qlMTU1RVlbG5s2b0Wq1amK/5ppr+PGPf8wjj/yaX/3ql8Tjcd7xjnewuLjIpk2baGhoSNuvEjpWE/cCSgu5BQiyZ88e/vCH3/Pwwz9lZmaGd77znczNzVJaWobJZGJkZBSbzcZYZIxoLF3M/YD/AIfzD6u/s1gsRCIRDAYDDocj7ZyLY4rFYsiy4mISjcaIx+PMzc2h0UgsLzv4s/XPxJZiqw0ECWLaGF//ydf5p9p/oqioiCNHjiRJwmX6u8Viwel0UlNTw/z8fNI2drsdnU6HTqdTfydmWkIEQZl1+8jLM6koUaPRqG6v2GspnF2z2ZzZfDoeYdw3pv7bYrGg0+mor6/nW69+a11wjMPhUCva1C5WmsgCigXZRqga2SKVWhOJRHC5nMjyLKOjYxQVFREIBI6pm7WRyPTMOxGsrhJAOOJBNwCchoIl90iSZGClHSbLcgh4ZeUn8fVHFf9wCTKx8nO5XAwMDNDZ2ZkG2lhejjI1FSLTtbfRCjIcDjMyMqI6w2+Uk6lIuY1gMBhysBGSUSoxHcpDOD2SE7J4cLQnJeS0vcoyL7/8MgsLC7ztbW9TSeHZFgvCLUFBc2a+gRwOicLCMB6PllUkqoK4VJJnthBzyi2IRaMAKwmfQ5PJhEaj4cwzz+SVV15RjXN/8pMf8/GPfyJpgSJ8A7ds2YrL5UKj0bBt27aM7dLLLruMjo4O/vM//5Nf//r/MTc3x/vf//51RgAisYdQAEsnoSR3uOqqzezcuZNbb72FZ575H9xuNzfddBOVlZU4nU40Gok3velNXNxwsVpNOJ0O4nFZVbURqGShsJMq4J4I4kn8+9LSEoWFRTQ2NqqtTUUcPsxMeIaYLrqaIGWI+aJMh6ap3Fq5wgsNI8tk3b+oZsvLy1Wx8+Tv34FWq1Vt6GKxKKOjY+pcUoQC5nIyNjaG3+8nHo9jNueTn2/Gbrfj9/uRZZnlZTvnV16Apjo9UU9OrjrBTE5O0dDQwKuDr/KHF/+gJFQJolKE3zv+wJuL3kKpqVS9TycnJ1Xz4dTImJDlaBqf83iE0ajn5JMbKCpqVnmXNpuNgYEBtFqtKpKRyabqeEQm1R6v1/u6OXkkzBxvRWlFPQUMAncDO1A0IqdkWQ6L7SVJUj/A8QDqnBAJ8nh92YmJTWi37tixI+1mnJkJs7SUnXu6kRmkMB5ubm7O2aInNZRVdCCrsk4oFEIhyUsolaMHpU2pWwcZa1/5ESLimSMejzMwMMDMzCw7duxIShyZEmRiQl9PxOB3vwszOzvL9LSbzZs3pwmWp0cQRcu1gkSyYV9fH5FIBKfTqfI+i4qKcDodRCIRWltb+eIXv8jIyDATExauueYaDAYDNpsNq9Wqdg+mpiYpKSnJyrsEeO9730tlZSXXXXcdL774AoFAgC1btuTwoJhAWci2J/32rLPOwmzO56abvszBgwe46qqruO2225ienlZl9oRyjXINtaxUEy6cTidWqxWTycTU1BRVVVVr0kZERKNRZmdn2bRpE1u3bgWU783n8xGJRHjgIw9gMBiQV/Ri4/E4+/fvR6fTsW3btnX3L8sy/f39FBUVsX379iSHFJFErVYrOp1OVZ+ZnLTQ0FBPT08vJpMpY9KVV7Rc3W63aiVWV1dHfr6J/HwzWq025TVx4nGlUxGPx5mdnUOn02E25/PzgV8gB+XVUbsMskbmJy/8mPdsei+ASsV54xvfmPEzp7ZHQ6FQkiXZ8QqNBtrajBQWalf+rVGr6ZNOOolwOKzwZLPYVB2PyKSi4/f7X0+rK/GFbEeRkPs8ygPwAMoKtE2SJBPwhCzL88cLuZoYJ0SCPF6h1WqJRCIcOnSIaDSatuqPRmUmJkJ4PGtXh7nK1ol5Yyr3cCORKKGWasQMEIvFOXz4MI8/3kZeXh57945QWFjI5s3FpLZWU16JUrXlI6q2THHOOboVw2AjSuuzCzBQVibz+99HVh4ayQlybm4On8+fE3w+EokwOztLRUVFjgsIUfG2pf2PXq9XpdEUIQcr4+MT5OfnMzc3x7/9279x++238+STijjyF77wBeLxuIo8HRkZUeXn1ouTTz6Zz33uAu6//34OHjzA5z9/IV//+h0Z6SOlpTIOhxsF/NSEcAcRVfLS0hKlpWXcc889XHnllRw5cpgnn3yS+vp6VVov02cVNJJ4PM6RI0dWfDILOHLkSIobSXpMTU0RjUaTPqvb7WZ6elq9XhORsdPT0wQCfvr6lMp3PWSszWbD6/XS0dGRlQ4luIKFhYUEAgE8Hi9tbe05Cc2LRFlaWkp3dzcej0e1K0s1Q1YqH4niYoXE39PTQ2lpKXfP373qeLISMaLYSm2cdtppRKNR9u7di8lkykm+ENJpEEcjH5caWq1EW5uBgoLMs0ZJkjAajdTW1qpm4h6PB7vdztSUwoEuKyujvLx83XnuWpHNCzLTc+nvEQnAmk+hPMR2oABxTkZ5sLUCDwF/kyTpWZS5zBgKatC50m49pviHSpCyLDM8PExjY2OSbBmAzxdjYiJ93pgpxIo6W8Tj8RWx7zB9fX3HNEQfGxtDkiTa29vT/m9xcZFwOMyWLVvIz89naGgIWY5n3DY9plBaftvIxh/0eDw4HOUoYBgHSuWjADmyzU3D4TBTU5OUlpZSVla27s0oPCQF9eKMMxJRrYkhU1Jix+lMr3gztWMlSVKBGLt27SISiVBUVMRll13GXXfdxb59r3L99dfzrW99C51Oh9vtZmFhgfr6+pw0RaempqipqeWuu77FDTfcwOjoKJ/97Ge544470hLsb38bZP/+QSIR2LWrEq1Wma0q3YpZfD6fmgjvu+8+nnrqKerr69LUWrKF8Mvs6emlq6tL/bfg2QmNUIGE9Pv96txOrP5FJS08NGFVpCAYDLKwsEBlZRUlJSVJi8PEmaIIMW83m81r8k0TOw8WywQajWZNi7LEWFxcxO/309nZSUFBAQUFBdTW1qaZIZvNZgoKCohGY0xPT1NcXKxKU2YDx4iYm5sjFovl7D8pIvFcHI18XGJotRLt7QbM5tyfIYm8y7a2NrW6nJqawuv1UlhYqC64N1JdZkuQJ8AMch6lcnxFkqSfoKictK38bEOpMM9HaTktozie75ck6RpZlr0Zd5pj/MMkSIfDwdzcHHV1dWlCuHa7Mm/MdVSr0WiyomojkQgjIyMUFRXR0tKSUyuqrEzOmHBKSpYy+jHG43GmpqZUhwW9Xq86HjQ1NWEymdZExiqOGjMoCNDMJPWlpaWVuVExSqVZgAL6WTvGxsaIx2X1s6/9+Vf9JlclA7NtL3PjjYeRJC07dpSj0axtCr6wsJDke6nT6TCZTFRWVpKXl8e3v/1tZmamOe+883A4/ohyPgpQRBLEZS/zzDPpi8xEMfdNmzZx7733cuWVVzAwMMDnPncBt9xyKzt37kw6lsQk+O53GxOoH6utOEU7tpxt27axsLBAa2sbY2NjjI2N8fa3vz3rZxW0DnFdG41Gqqurqa6uJhaLpam4LC0tIsuo82yr1YrT6czI4RT7F4s0vV6fNnMUi0Ux88umNpMaogp1Op04HE6am5tzemDHYjGmphTB9tQFhE6no6ysjLKyMnUOKpKDz+fjpJNOwu/3YzKZ1uWGzs7OUFFRsSEz4MQK8mjl41Y/i0R7u5H8/GOjcShyjTXU1NQgy7JaXc7MzACo1WU2GTwRmRKkSLivd0iSJMlK+FCqxLGE/6tE0c7cikLx2ApcANx0rO97QiTIY5lBKry2Kebn52lubk56AChE7DA228a0brPNIIUWaVNTU44C6spcJpPBcSwWY+/eI+j15iQ/xmg0yvDwMIWFhXR2djI0NEQ0Gl3xQcxT21NrIWMLC0dWgDHJlU5ZmZxETldEgydZz7tRxDvf6cXpdKE89BMfBJkEL2IUFIxmBT+kxzTBYJC+vr51eV/RaBSLxZLkewmoItJbt27l/vvv54orruDQoQEUZKkXhSKVeMln/rwTE+NotRo1IZWUlPDNb97Fl7/8Zf72t6e55JJLuOaaa3jb2962cizJHMlMGrHi916vl4WFBfVhdvnll7O4uMDc3Byf+MQn0u4Fh8OB3W6npaUloy5x4uxSXrE4Gx4epqioaIVmpNA9Ojs7M3Y6XC4XNpuNhoYGdUyQev4TW7ECmFNWVkZBQcGardhEBae8vLw1fUcTQ7HvitLd3bLmdpIkYTabicVi+P1+tm3bRnFxseoSYzab1co69bMrPElyAMUlR2KCPFr5OFCSY0eHEZPp+HIchSRgUVERra2tRCKRFZnIGZVSI6rL1Nb4CTiDVCMRiZpA+5BkWY7JsryEItb8LHDPyjYdKG2xY4oTIkHC0VErYrEYhw4dQqPRsHv3bhYXF1cMcCESiTMxEcLrXXtum7kSq6W4OMpjj62+1mazMTc3q5KhcwkBGsr0wLdYLITDEXp6VqW8/H4/o6MjNDQ0qn1/jUbD9LSSPFLpI5nDmuSoEY36GRoaoq+vj1gsxvDwKHl5eXR1da0oqswBtWTzbhShmBuPkVkTVUqjYVgsFmZmvLS3b8nhmBVgTkVFRdLCI7kSW42iohGuuSaW1Or0eDxMTEzQ1tam3tB33XUXjz/+OHfcMYFSKacbTk9OTibZWdlsNpxOl1pNicjLy+MrX/kK3/72t/jlL3/JTTfdyMKClVNOOTVJvUfRzs0+jx4fH0er1aqLuQ9/+MN861vf4v77v8/8/DyXX365usiLx+OMj4/nnFzkFY/O2tpatm/fzsTEBPF4HJ1Ox6FDh8jPz1eTqU6nS5LPS+X/JUaiSIFy/BpaW1sVsJZjlEv+egnffPM32VS+KSlZCiRtIBDI6lWZGsFgcF37rtSYnFQ4jG1tbej1esrLy5FlGZ/Ph8vlwmqdR5I0KxzDEqLRqLoo2KgZguCbZuJH5lpF6vVKcszLW/u+OAZ2QsJ76dVug+Bd2u12BgYGiMfjanVZVFR0wrZYUyOT9qq0enEJ0fLMZOgNxgmTIDcawiuyvr5evbkFD9LrVeaNkcj6F1i2Sszl0gFhtUINBAL09W3e0LwxW9L3er0cOjRAKBRWpeF8Ph9LS0s0NjYyPj6utr0mJiZwuVxUV1cxNzencs1WJdw0CX/GgEMEAjqVFC/LMna7jdnZWSYmJqiqqqK4uBi3283hw4dRhAmqUWgVYj/KPsWxx+PySpsvmXqRGInJxO/3Mzc3R2Vl5bo6pEqMAVLaLChzJebF7VY0PJPna/N0dXUlPfDy8vLYvHkzq/PV9CgqKmJ5eZnJyUkMBgMzM9NKAinS8fnHL+TGN9xEd3qBzwAA6qlJREFURb5SGWq1Wi666D+oqanh7rvv5t5772X//gOcf/75FBQUEAgE1nA7AVjE7XbT0dGhJsEPfvCD1NTUcNNNN/GHP/yehQUrN9/8VQoKCpifn1eTSy5qKnNzcwSDQbq7uxkdHaWoqEhNrCJhOJ1OhoYUAYtoNIrdvqzyQdeL1WqzUT33t754C76Il6++cDM/OPsB9ZoR96IAaOUK9FAqOynnys7lcmG3L1NbW5N0DUorHoYFBQXU19erqOC5uTkGBgbQaDR0dnZmTAprhaBCZOJH5lJFGgxKcjQac3MWOZ4qOom8y5YWBSktRlNHjhxBq9ViNBoJh1d1qH0+3wnRYl0vEirMf1w3j1xDeEX29fWl2RMtLUXweoM5zxvXCtHuLCgoWHfekiky8SllWWZkZISCgkI2b1bmeFarlXg8xvbt29Ng7MvLy+j1eqqqqgmFQgmwdiE9J1Rq4ihzNieS1KzOrZQqwYLFMkltbS2Li4ssLi7icDiYn5/DbG7E59ufduwFBTLPPKPIxgkfN6UNayA5KSt/7++PqDOq8fFxgsGAqmqTLIGWl/Q6cKHMQJvxeDx4PJ6EisWU8l4SCg0K6uvriUajWK1WvF4v3d09afM1r9e74ofZijJ/TI9EO6uhoSH8/gBFRcV84+lvsN92gPtfvZ8rTr8iSaXmwx/+VyoqKvnKV77CCy88j1ar5bLLLsNqta4BoIoB4xQUmNM0gN/whjfw7W9/my996Uu88sorXHDBBdx6661qss4FyCP8NQsLC1lYWKC6ujqNriMSRkNDA8FgkL/97W9EIhGsVis+n4+SkhKVT5oa8opYeCK1Z9g+jMVlAcDisjDlnaKtpE1VU1KEMyI0NTWti4oFVO/NxsbGnIwCEo+psjK9O5AYAhWs0WgoLy+ntraWYDDI8PAQGo1WBb3k5eXlNFfNJliwFj/SaFSSo8GQW9JbSzbzeITyXFE0Y8W59Hq9DAwM8Mtf/pJgMIjf7z9qhP4/QpwwCTKXFqu8YsGztLSU5hWptJfizM3FyAHFn1MMDh5KanduNDJ9pvn5eXw+H1u2bKG8vJzR0VGqq6s5+eST026GxcVFSkpK2LZtmyrIvRqpDxA3SrLczZveVK8m2cXFRWRZZvPmzRgMBuLxOOFwmP3799PT08vDD/cm+TUm/j0WixGLxQgGlSrmD3/YgnLJCGLZ6p/iNTbbEna7ndraWvx+P16vNyGpQ7KOawxRPUIRR47Y1vmMDoRriBA1AKipqWZ5eTlJqF2ovChgq2IU7mhiYlaS7vBwWDUrHhoaorS0BGOJkedefg5kmccPPk5foI/a0hpKSkrVeVZLSwsf/ehH+fnPf86zzz7D9PQ0t9xyy8p3GCI9sU8DYVpbMy+0ent7+d73vsdll13GxMQ4Tz31FK2trTlRUkCpvEKhIHq9LidOrtVqJT8/n23btmE2mxMkz2bR6fRqKzZVpECAogC+/EwyBuKmZ27iR+/5EZIkMTw8jNfroaurW50TisiEjBX3tl6vz8m+CxSgmd/vp6GhISdalngPs9lMW1ub+v6J/FoBjMukjwqrSWs9hGxqbDQ5glJB/r1k5iRJUmlUtbW1tLS08Oijj/L0009z1lln0dPTwzve8Q7OOuusnL+fM888kxdeeEG9Xurr69XuRZZjuBi4AmVl/CvgguNB1TiWOGES5HqhOEwMYDAYOOmkk5Iu3HBYmTe6XBy1hmqm6OjYlBMlIFuk0kXC4bA68youLubQoUNUVVWlVRSgfN6JCcWAOBOUPhkZK9R1DJSWtqDVKglLWBYVFxcnJfmRkRFMJlOaiIKI1Ao2L89ET08v2dqUAEVFRygqKiIYDLJt21a2bdueMRE888wq6GNqaoqpqSDd3T2KEHVKolYoJyIJh4H9KCjUHmBQtZjKRDi32WzEYrEVWkEeqwk9lrDPGIuLbvR6g0rALi0t5Yf/80Nkh+JuL0syT009xVnyWUxPz6gi6MvLdszmAv71X/+Vhx95mKnqST5/2ef59Ec/TUFBLV5v4mcPA6OYTMUcPhxDkjQZZds0Gg1f/OIX2bdvHzqdlmAwyPT0dNZtxd8DgQAHDx5c0SttXWmd2jNuK2gdk5OTVFZWqvN0AewAVM1UscDIz89namqKkpIS9VpMrB5FWFwTDNuGke3K+a+urqG9vV1dmMmyzJJviS8/+2WuO/U6ykxl6nEJXmWuxsaxWIzJyUkKCxXQic2WurhKj/n5edURJPHaTOTXijmd0EfV6XRJ1WUmtZn1Ii9PQ0eHEb1+Yx2o17qCzPR+ougoKyvjox/9KPfeey979+5laGiIxx9/nPvvv58bbrgh533efffdfPrTn153O0mSzgKuBN6Msgr+NQoK9cqj+CjHLf5XJEifz8eBAwdobm5OW714vYqeajQqH7MLR2ocS3KEVfstEWNjY8hynOrqatU7L5uBstB1zSb4m4iMVeaLLrq7u6moUCq/kZER8vPz6ezspL//oLrtenxAWZaTxMYnJiYwm83o9XoKCyN4POkw/dLS+ErCH8BimWTz5j7sdrsKBkkNUbEpfoC1a/h/JrZ2hAvIDqCA3l6ykruj0SjLy8v09PSwdetWnnkm+cF06NAhrrjiCpxOJw8+2M3VV19DJBKhpaWFvLI8bpq5iViDgnyOyVH2afZxyUmXUJpXSjweZ2RkhJGREdUQd+tHt/CC/QWcsoP77ruPq666kk2bNqlJWzHmLqGnp0cFxyTSJ1aTe5z8/Hyqq6sJBAIUFhYyODjI1NQUJ598MiATj68qzog4cuQIS0tL7N59kgrtXytmZqbxen3Icpzl5eWk70X5U1KTOMDQ0BBzc3NUVFQwNzdHcXER3+y/S2ETSck/X/rFl7i492K1Vbq4uJiU2L+///sctBzkB9r7+eyO89XPMjAwgNFoJC8vD7/fj1arTUrqqRXn3NwckUiE7u7uNX0nE6+JVJ5kpkjVRw2Hw0nm0Fqtlvz8/JzngyaTkhx1uo0j9f+eFSRkRrGCstDv6+tbQb2/ZvEJ4AeyLB8CkCTpK8CP+b8EuXYsLi4yMjLCli1b0pLJ4mKE2dmwOm88GheObBzFwsJjdxdJVORZXl7Gbrer4Ivu7u6sCDqhHVpXV6euvrOFQtyforS0lIqKipW5yjB1dXVpsytZlhkdHcVgMKQRthOrsMQWZSgUpKCgAofDwe9+V4ZOl/n8+nwGJEnDySefTF1dHQ6HQxW7TtRPFZEqIJApFIUaiVVx9lqggJKS2JrKJ5OTk0QiEfr6+jI+OPv6+vjud+/h0ksv5ciRIzz66KOceuqp1NXVcedL/4mMnIRDimvi/HT4p1x2ymUEAgF8Pi9lZaXK3LNYx02/uQnMwHYJzyFFa/X666/jzDPfhMPhQK/Xc9JJJ+WkILO0tKQCeQoKCvjqV7+K3W7DYDDw2c9+Vn0oi+9qeHgYo9HIBz/4Qerr69Pa5KnJWNF6ddLZ2UVNTU3GbROvhWAwSCwWo7Nzkzq7dLs9LHmWVj0SEkxWln0KJ1FpzQfVWTiAO+Tmyb1PQFzmieUn2aU9iUJjIYuLiyrHd//+fQlnY7VqVn8jQTQaY3x8nKKiQgwGA4FAgEAggMPhSPFDXU308/Pz6PX6NI70eqHMN1ery8nJSYLBIIcPH8ZgMKjVZaZ7OT9fQ3v70SVHOP4gnfUitWLNZW68Xlx11VVceeWVdHV18dWvfpUzzzwz26Z9wG8S/n0AqJYkqVyWZfsxHcQxxAmTIFO/CPEwd7lc7N69O4VILzM5GcbhSOY3rqeAkyl+//uISq+oq6tXpb0GBgZQ+KZHH0KfUlQRbreLiooK1ckgU6wmMT3Nzc0sLCys+ZlEVdre3o7b7VapDpmQZ4rmq5+enp40497U5Oj3+5mZUeglZrOZxsbGNW8WAf8XHn9ms5mGhgbC4XCa6guA3W5PERBIj9/9Thk/HDw4yOKik4oKPd3dFWuCBgQwJxHlmimampq49957+fWvf013dzdtbW1oNBoGlg6tCb4YHh5mdnaOM844g/r6eu544etKQkUhsde8p4aZh6e57rrr+dCHPkRXVxdmszknmkYsFmNiYkIF8kiSxL//+6e5/fav8+Mf/4j5+XmuueYa1e3CarUyODhIb29v0kwtWwhEdk1Ntaqful4cOXKExsZGdu7cmXTe3/zmNxONRldQpHacTqf63S4uLtLX10d5eXlS4r3zxTsVwbAooJHZr9nPp7s+TSAQoKGhgba2NjWZR6PRpGSfWDFPTExQVFRIV5eiCiTuM4NBr1bY8XiMaHQ1yU9PT3PKKaccE2VBkiQ1KZaWlhIKhXC5XExNTRGJRCgsLKS4uJjCwkIKCrS0txvRao8+wWwUYXusEYvF0jo+x5Ikv/a1r9Hb24vBYODhhx/m3e9+N/v3788GZCtAQeyJEH8vRBGUfl3ihEmQiRGJRDh48CAFBQXs2rUr6QsKh+OMj4fw+9OThtLS3FgFuby8zPT0NJs2rc4blQfHscNgRcIeHx9ndHSUHTt2rIuGFUlMqLKsBV4SVWlzc7PaOu3p6cmIAEysNBOrr0zJEZS22uzsHP/0T/+U9eG+ylMUFk89QOGKYoyS3AwGg4qUi8ViOBwOXnjheYLBIFVVVdhstqytWFBUagQxffPmzeuaagueYS6Vgtlspre3V0WyTk5Ocn7lZznl3ZnNcOfm5ujv72fXrl3U19dj89t4NIULt1i6yL+e92/89Ac/4eGHf8rJJ5/CBz/4QQ4dOkRhYSGlpaUq5zI1RBsv8Rp517veTWVlFddddx1/+cuTLC0tceutt+LxeLBYLFRVVdHR0ZHTQ0wQ6HOljQhaR2NjY8ZFiVAvEnO9WCzGM888QywWY3FxkVAopHYOnGEnf5r6E1FNFAyKldcTc0/wlvK3YDab2bp1a8b3SK2IvV4vGo2G7dt3qGpOTqcTv9+f9To9cuQI7e3tGxYFyBSJM0ij0ahe20If1el0YrNN095uwGqtoLy8/KhRoK93BblW6/rMM8/k6aefzvh/p59+Os8888zKWECJT3ziE/z0pz/l0Ucf5Qtf+EKml3lJJmOLv3s29CGOc5xwCdLj8dDf309bW1vabMrjUfiN0WjmhLGRlY4Asbjdbnp7e4+bIn7q8SwvL/PSSy/R1dVFT0/PmtuHQiE1GYj2aLa5ajweZ2xsDJPJRCQSWeFpZlehGR8fT9NxTWypJSZHi8XCoUOHOOWUU9asfJTkGEXxKy1C4VNmV5LRarUrdIJSNm/erEroZWvFhsNhXnzxRfR6Paeccsq6q+nE9uR6iVR8ToDW1lZcLheXXnopi4uLXHHFFZxzzjlJ27rdbp599llaW1tVkfYHD/4X8RQDgbgcJ9AT4LLLLuc///M/efHFFygsLODKK68iGAzicDiYnJwkLy+P0tJSSkpK0Ov1KwR5Zc6Xyh09+eST+e53v8vll19Of/9BzjvvPP7jP/5DpSzkwjWNRqNMTk4mKf6sFYkiAtlaw0KcYdOmTZhMJiYmJigpKWH79u0YDAZcLpfqvPKrhV8RTzF1jwWj/Pzln/H5t3whaxJJFCkQouoGg4G6ujp1fJHqAZsYbreb5eVlGhsbj8s9ni1pCH3UhoYy2toMBIMB7HY7R44cIRKJqAvT4uLinJPe37uCTJ15CjWiTPHUU09teP/rMBUOoeiq/nzl39uAhdezvQrZVKxfhxAto/7+frZu3ZqWHJeWIoyOBrMmx42EoigzTDQaTRJvPt4RCATYv38/jY2NbN++fd3tx8fHAZKg/alAHxHCfSEWi6HX69dE/3k83hURgib1QSTAOGJFLG76hYUFXnzxRTo7O3MURbegJMkO1pOqCwQCSc4eog27efNmOjo60Gq1TE1N0d/fj8Vi4a9//SuyLHPGGWes+6AQqN+CgoKMqODUUFb6qxJrRUVFvPWtbyUej3Hrrbfw0EMPqTezw+Hg5ZdfpqKiIsmSbK12bG9vL+ed9yny8kw88cQTXH755Wplu2XLFrX9PDIywqFDh3jxxRcJhUJZK9+Ojg7uueceGhoaWVhYYHp6GkmScp6piblgrsLcCq3DR2tra8ZzL1CuXV1dmEwm1di4qqqKgoICdXa3adMmNm/ezLhvnGg8xRDaHmXKO53TbBaUjonX66W9vZ38/Hz1vl1eXsYn+/jCn77AgmchqS27UerIerEWirWoSEtbmwGNRiI/P1+973fu3ElJSQmLi4u88sor9Pf3Mzc3t2Jjlz3+3hVkNBpN+q6PRUXH6XTyxz/+kWAwSDQa5cc//jF/+9vfOOuss7K95IfAeZIk9UqSVApcCzx4VG9+HOOEqSDn5uaYm5tj9+7dGRNWRYUOo1GD0xnF5YrlpJKTKQSIpba2dk0ngmMJIfllsSgk5lySsGiXtrS0JK2mxXwlMfx+v0rq7evbvCZgRfHIm6W1tVV9SIi2VWLVKI758OHD1NTUpEHhM0cyeGa9WAuYYzAYVEksRSVpPw6HQ9XWDIVCa7ZiRXsyF0mzVQk3o3pOJEni/PPPp6Kigm9+85t8//vfY2lpiX/7t39jcXERo9FAeXmyFN6D734w4/49Hg8HDhzgzDPfxGmnnc7ll1/Ovn2vcsEFF3DHHXdQU1NDfn4++fn5SqvWZmNycpKiokJVmKK0tDRJQzQSiWC32/na177G4OAghYWFSfqpa0Wi+HouuppC6zYbxchms7GwsJB0XYtqPFMbU6PR8N/v/W/138FgkImJCQ4cOEBNTQ2zs7NJcn+ZQjiICJSv+N34+DhlZWX8cOKH9C/18+PDP+aLO78IKB0Fl8tFZ2fncUs02agXxcVaWlsNGa89rVarWpfJKwLrdrudwcFBYrGYWl2m8i5f7wryWBJkJBLh2muvVRV6uru7eeSRR9Tuy9TUFL29vQwODgohicclSbod+CurPMjc+SSvUZwwCbK6uprKysqsDzdFhFdLUZHyBfp8MVwu5ScQyA2Y43Q6mZycpL29PacHxdEMqAUgR7yfzWZjZmaG2dlZdaaYyksDGBo6glarU2eF4v9cLhehUAi9Xq/+bt++fUxOTvK2t70No9GI3+9HkqSk/Ys/FeFnxVBYVKOpyVE8aMLhMHl5RmpqateVl1KS9ijKJdSy7nmx2TI5e6SH1+tdqaSV6mjXrl2Ew+E1W7FC2q66ujorbSYx5ufnk+a8ifH+97+fiopybrrpyzzyyK+ZnJzk05/+NBqNNqfqS5ZlxsbG0Ov1NDQ0oNPpuO+++7jsssuwWCb47Gc/y9e//nU6OzuBVeeWqqpKdu7cpZ4Dp9PJzMwMer2egoICddZcXFzM8vIy0WiU+vp6+vv7OXRogA996MNZr9WJiQm0Wk3OMzhxzfT29qb9n9VqxeFw0NXVpS5WnE6neny5aJsaDAZ8PkV0YOvWrXg8HlXuT7Sei4uLk2bpgsMokMnRaJShoSElWeajumo8Pv44n9z2SUoMJczMzFBQYKasrExtw2aijGw0Ul9bUqKlpSVzcsz0WrPZjNlspqmpiWg0isPhwGq1MjQ0hNlspry8XAU45TIqOF6RWh17vd6jFiqvrKzk5Zdfzvr/TU1NeL3JTlSyLN8J3HlUb/gaxQmTIHU6XVaLqUxhNmsxm7XU1UEoFMfpjOF2x9QkkApXnp+fx+FwZAWxpIe04QQp1FiqqqpwuVxoNEpLzWw2JzkixGIxIpGI+u/5+XlsNhtNTc1YrfMJqjPKRer3+/D5fABMTU0yPj5Bb2/vCtF+ao3jCTE+PoHf7+fIkSPodDo1cWq1GiRJs1JhzlBcXILT6SQcDlNRUcno6KiayFMTukajwW63A7MoxH0PSntVqORoCAbDatIWfMr1nD0cDgczMzOUlpaqs0S9Xp+GinU4HEmoWKvVikajyandKBYga0m4veENb0zylXzhhRc4++yzc6rWMinO1NTU8N3vfperr76a/fv38fnPf56bb76ZPXv2ZATOJJL2HQ4H4+PjGI1GZmamGRsbY3l5me3btxMIBLjqqitXVGDmuOiii9IeqAJh2tramtMoQcxCU8XCxcze71eMshPpJhMTExiNxpzdOhTN2BB9fX3odLokub9AIIDT6WR0dJR4PK624qenp9TtIpEIQ0ND1NfXU1payh0vfF2dBcfkGA8efJAP1X9IHaEkChUkztyPJlmmziDLynQ0NemPOuHqdLokGonP51PFxAMBRa7RZDJRVFR0zJSLjcZaM8j/f4kTJkEeSxiNGqqrNVRX67HZdDQ06PD5JDyeGNGoUtHpdDp6enpybrUIBGqu2wuKhXA5WFxcVLlsaz24/X6/2hoUVUUislSszhsbG1fMlTW88Y1vZPPmzWkKMolJWGiLlpeXU1dXR2lpaVK7VlgXzcxMU1FRSSgUYnl5mfr6OtxuN/F4LCMpHZQWnNKizCcYLAYWk/6/oEDmlVdWFztLS0vYbDZaWlp44YUXkvhpIok6HA58Ph91dXW88MILGAwGKioqcLvdaYRxrVarrsJnZmY4cuQwJSWlHDiwn5KSVeBL4vbi9WNjY8Ri0azVYDQaZWRkhF27dnHPPffw29/+lp07d+Y0J1urNVlUVMSdd97JV7/6VZ58UplJXnrppVRVVWZN1i6Xi5mZGXp7e1W06DPP/A+xWIz5+Xny8/P59Kc/zV13fYtf//r/YbVauemmm1Q0djweZ2JiApPJlKPlWLr3JKDy/+LxOJs2JTt2pHphrhdCM7asrCyNsC9Jktp6rqurIxqN4nQ6OXDgALOzs2zbtg2r1cri4iJNTU2UlJRkRBI/OvwoW4JbaKpuUiX3EoE+ifdNYsIU18lakdiGLC/X0dSUy2I7t0jUy21ubmZkZASNRqOKiQurqvLy8tcEN5F6n3u93v9LkK/3ARzvMBq1lJRI1NTk4fP5ee65AVpba8nPr9rQ3HIjqjyLi4tJbu2vvvoqRqORxsbGlUorcyicxxG02uT2XaKsmNFoRKvVYrFY8Hjc6uB/vdaHzWYjLy+P3t5ewuEwHo9H5W+ZTCbVYPftbz8LvV7P3r2vsGPHDrZuTed+piZhsbr/yU82YzKZsmq5inmLaMkJ0erU7YUqSnNzs+pIUVtbu6LjuqoyE4/LSd+J0hoeQ6PRUl5ejsvlZnZ2Dp/Pp7ayBGAEFJCQxWKhvLycffv2JZxnCY1GEZmYnVWslsSCobq6Wk2aQqWmpaUlraqWJInZ2VmWlhbZvHmL+r0nbqfVarn88sspLy/n5z//Gbff/jXe8pa3ctlll6Wdc7vdzvy84lAijn9ubg6TaVU/1efzkZeXx0UXXcQ999zD888/x+c+9znuuOMOKioq1LZkIrBorRAjgaamJrVVKtrvBoOB5ubmpAQikLFFRUU5IWNBmT3F4/Gcqn2dTqeCcU4++WRKS0uxWCzodDqVDvXD8R+mIYljjhh/jv6Jr5x8c9o+U89DamcncbtM1aVIppWVOhoajl9yzBSyLKsLCSGBZ7fbOXhQUcbK1Qj5aMPn850QXpCvZ5wwCfJ4fcHCZkdArHfvXnX88PliOJ3K3DIYXDv55SI6EI/HVdUW4dU4NTWlPpR0Ot2a+1hcXMTt9qitxEwhDE9rampYXl6mrq5u3Ys2FosxPq5QQCorK9FoNKq1jXBeB4XeYDKZGB0dJRaLZ0Wtioc7oM6LWlpaksyKs8XAwAAVFRXs2rUro0Hr6OgonZ2d1NfX4/P58HiU89HR0ZF1n+KBZrFYiMdj9Pb2UVBQkPSwE61Yp9NJKBQiPz8fh8NBfX29mjAStw8EAkxOTtLW1obJZCIUCrG4uEB+vgmTKY/5+XnuvPNOwuEQ5557Lu3tHWryBoWiMzExTnFxybpybzt37sTr9fLoo3/gySefwOVy8b73vU+dM7tcTrxeH01NTSvWTBLhcISRkRHKy8tVBKtIzps3b+bqq6/mG9+4k9HRET7+8Y/z6U9/mng8RmVllep/mE3LVXy3o6Mj6HQ6tVUqJAsTbbMSY61ZZabw+XyqWXSuMo4WiwWNRkNFRQVTU1N0dyvi50KA4oD1QDKSOAwxd5S5wvmcfFtTaSSiukxMlonnLR6PU1Wlf82Tozge8d0kSuAJqyq73a4aIRcWFqpGyEdTXWYaJ/1fgjyBEuTxCgFMcblc7Nq1K2luJOaW9fUQDMZXQD7RjKbK2egVIiKRiPrwEITlQCCw0rJU/O/8fn/WfUQiESwWC0VFhVlpCS6Xi8nJSRWkYTDo0yTiMoUihxVi8+ZN6o0tYPdC57K0tBSHw8HQ0BFmZmbp6OhYF2ChAFAyS9VlCsV8WJl/pSbHUCjEyMgINTU1avUh1HjWA5NoNJqVBLZIbW1d1kQtfi8SsRDoFrw0gYoV1fRb3vIW9aE6OjpKY2MT27dvVx/If/3rX/nLX57k/vvv59prr+Wtb30bgKq8ZDQaVcuyTFW1eOgKpZj8/HweeeQRXnnlZcLhMF/4whdwOBwYDEa2bm1Xrx2F/zeDVquhsrKSYDCYVlUbDAY+97kLefDBB5menmZwcJC8PCMej5eFhQW1JZ0N9OF0Opift6otbtHGFYCo2dnZhMQqrVTVo5SWKguCxISdaWYtSRKjo6MEAn5aW1uTEna27T0eD3a7ncrKSqamplS+JawKUPz0/T9VSfoOh4ODBw8SLglxyimnEgwGN0TST6wuxeI29bsrLo5SX6//u1Aw1kKx6vV6ampqqKmpQZZl9VyJ70JUlwUFBTkVH9nMkv8vQf4DRSwWw+l0kp+fz+7du9e8gPPyNOTlKXPLaFRW6SMeT4x4fG1dVyFNl2qFJWaEgse4VhUqxMjb2zOroFitVmw2Gx0dHRw4cAAgCTmYLbxeL7Ozs1RXV1NcXKzuOxqNMjo6SmFhIXV1depN5HQ6qaxU5mBHjhxWrY5KS0vTEqbivejL6TiEbFommTWfz8fY2BgtLS0qGCWR5J/LCjgXLVcRsizjcDjo7Oxk8+bNqnHwkSNHiMVixONxOjo61IevkKurq6tTZzAGg4Ebb7yRsrIyfvnLX3DjjTdis9n48If/leXlZdxuN62trTk9UJaWltDpdHz4wx/mrW99K1deeQUHDx7gq1+9mcsuu4xTTz016Zqw2+0sLy+zc+fOdfl8b3jDG3j++efRaDTU1NTQ3NyMz+dbqaYdxGJxCgsLKSoqUt0phHJVe3s7nZ2dhMNhxsfH6e7uprCwMGP7fGZmFlmWVf1fwalNTNyJ82uv18v09DTV1dUq33edb43x8QkCgcAKp7CBffu8GefXIrH6fD5MJpMK/hF+lEVFxZSUlFBQULChpJZaXUajVhobTWrCjMViSUn9eEeuSVhB+CvArtbWVsLhMHa7nampKbxeL0VFRWp1me2+zZYgc+kS/SPHCZMgj7XFGgwG2b9/PyaTiaampg1dsDqdREWFnooKRcvR7Y7hcGiRpPTktry8zMzMdJoV1uLiIk6nk7a2NrVayjbHFLJwDQ0NaUNw0TqMxWL09vbi8/mYm5ult7dvXd5mPK44TQhNVHFOg8GgqjWbmNAF3aGvr0+t4oTV0fj4OLFYTE2WOp2OyUkLJSXFOfFHp6enCYVCdHZ2Jn23olpLrAYE6CdXkn8iZSQXRLI4n4LqUlBQoJ53j8dDaWkpc3NzKipW2BylVskajYaLLrqIqqoqvvvd73D33XezuLjEqaeeui5CV0Sq3mpNTQ133/0dLr74YiwWCzff/FXuuOMOdUa3UaBNXl4eFRUV+Hw+2tvbOXDgAAcOHOCTn/ykSo8QguXLy8sUFBTgdrsxm81s374dvV7PyMgIu3fvzqrQ43Q6cTgcbN26dd1Ogkgmr776KiUlxWzduk39XJmAZeJ3i4uLGAwGioqK2LJlS5KReKbtBd+3qqqK1tZWdYEQi8VUyTyLxYLJZFK9LnNtRSqfYZ78/CB9fVvV+1osrkSyBJIq4WONVF5irmEwGKitraW2tlatrm02G1NTU6r6Unl5OWazWb03/6+CzBwnTII8lnA4HKpo8/Ly8jF5Qmo0EiUlCnS7uFhHfn4eTmcMpzPKxITSuu3pSZamS1RxSXyIZUqQCshlJGObUrRtS0pKqK2tRZKkFQWU7PNBEbIsY7VacbvdbNq0ST0+t9uNxWKhra0t6WIXsnapCMq8vDy1dSMepvPz8wwNDREOhznllFPWXdkGAgGVKpD4kF1YWMBut6cJJwix597e3nUXSopT/fqUERFer1ede4nPLxYhkiSpwgLiYTo+Ps78/Dzl5eVYLBb1YSpW3pIk8W//9m+Ul5dz66238POf/4zS0lLe9a535fRQTNVbjUQi+Hw+vv71r/O1r32Nw4cHueCCC7j11lvZvn27ClpaS0YwMWw2Gy6Xi46ODoLBINdddx1ut4u5uVmuuOJK9Hq9SlqPx+Mq6MNoNKrz87a2tqzJUVGnUQQwclGnkSSJxcVFFamdy+wxGo3S399PXl4e55xzTk6JzGq14nK50nRmtVotZWVllJWVqaAxp9PJ8PAwAMXFxSqVJNO1p1TYMxQUROnt3axuk2l2KRKm+AyJ1e3RxPHwgxQSeOL7DIVC2O121f+0uLhYRcWmJki/3/9/CfL1PoDEWEerL2NMTU0xNzenzhtdLtdxMU0W7dGCAi0mE9jth2ls1LNr11Y8njg+32riE+3SVHulTHNMBX0XSKOcZGrbOhwO7HY7VVVVawIO4vE4oVAIi8VCcXGxWoUtLS2xsLBAV1dXWrt0YmICWZbXTLw6nY6Kigr0ej3z8/OUlpYQCoUYGBhI0xJNDKXVvNr+FC4SIjGkqnUIlZf1xAmAFRPokAqKWi+EeLmYa2ZqNYuQZcUguqOjgy1btqgP00wCBWeddRaFhYU888wz7N69e02PQRGpequism9oaKSkpIRvf/vb3HDDDTz77DNcfPHFXHXVVRQWFmakRGQKsXgwm1fdQK6++mpuvPEGHn/8cRYWFrnlllvU86zRaLDZbFRVVdHZ2alWYAsLC8zMzKjJI7E1KSToUr/HbBGNRpmamqSkJDcNWID+/n6WlpY4++yzc0qOuaJpE0n69fX16gJQcFHNZrNqZi58O8PhaYqLZbq7sy/exLkR5yOxukxEx4r/zzXpvRZzTsFXraurIx6Pq24swmB8ampKdSU5FqGAf5Q4YbRYNxoCGOF0Otm9e7c6jNfpdMclQWo0GtXT7uWXX6a8vJzt23upqzPS1WViyxbTCgfKy8KCldra2rSLSbm4VxN+MBhkampKHaCLcDgcjIyM0NGxSU2O8bgiRp6fn59VSi6xvSS0NsX8c2pqShVGSE2OAs5fX1+/LtJPluUVzmMePT29aVqiw8PDDA4OMjc3RyAQUIE5zc3NGAwGFQmp0WhUvdXESLTJWi+CwSAzMzOqlut6oaCE3bS0tKDTKSpFR44coaKigvr6+rQH3vT0NJFIRLW+KigoWFMr1mg0ctppp6nHPjw8zNLSUtbjSRRH9/v9DA8P09LSqn6WvLw8brnlFt773vcRiYT58pdv4umnn8pZP1UQ8EUrGeCMM87g7ru/Q1lZuSp3Z7VagVUFnOLiYtWjtLGxke7ubnp7eykoKMBmszEwMMDo6ChWq5Xx8fGsEnSZYmpqimg0RktLbp9hcnKS4eFhWrtbuO7Fa7H5beu+RqBpN+r1KBaAYkFUVVW1IqpxmMOHD2O3H6KgILquA09qaDQa9Ho9RqMRg8GATqdTnyfRaJRIJJJUbWaLtXRfj0doNBpKS0vp6Ohg06ZNVFRUoNVq+d73vseuXbs4dOgQr776Kn6/f8P7FnxO8aPVarO5ePDggw8iSVJMkiRvws+Zx/bpjk/8r0yQImkVFBSo8wkRR2OanCm0Wi0ej4e9e/fS1dWVRhTX6zWUl+tYWHgVrXaCsrIgi4ujTE6OMzExwdTUFNPT0ywt2Zibm8NqtbJ3717cbrcKjnG73YyOjjI+Pk5bWxs6nU71wZuZmSEYDNLe3o5Gk7n1IxKkx+NhYWGBuro6TCYTIyMjSJKU0XdSJN68PGNO5Pe5OYVXmChaLQjd9fX19PX1qe4ZExMTPPnkk3i9HsxmM6FQiCNHjlBSUpLRT1JoZba05KbyMjExAZBTwkgVLw8EAgwNDdHY2JixykiUq8tUyQqt2K6uLpUmYrFYVpDLM/T393PJJRdz/vnnJ5kEixCLksbGRkKhEGNjY2zatCltUaXVarn00ks599xPAvD73/+e++67b91rOhQKMT09TXl5edriobu7m+9973u0tLRisUzwmc98hsOHDzMxMUEoFEKW42kG3qI12dbWxpYtW6ipqWFycpKJiQkikbDKQ1yr4xMIBLBarTlrwM7OzjI8PEx9fT1PeZ/mwOJBHjz44LqfW1TlucgMZgtBo2hsbGTz5s00NuooL1fux5deeokjR45gt9s3/GzRaDTodDoMBoP6I+apQlFL3POvZ8RiMbVtfsUVV/D8889TUFDA/v37+ad/+ife+c538sADD+S8P6/Xq/4sLCxgMpn4wAc+sNZLnpdluSDh56lj/UzHI/7XtVidTieHDh2iu7s7Y2UleJDHGmKwf/LJJ2etssbHx3E6ndTUVAEedLo4+flx/P44LpeM3y8xNzeH0WjE7XYzMzNNdXWNSrRfWFgAFB1agVQFRSJubGyc4uL/j73rDm+zurtH00vylrz33iNxFmRQKKWkJWGkbNqywvjYaRs2gbJDGWWWQoHSfulH2HsEsghZ3nvKQ7JlLWvv8f2h3Iu25MRODOU8j5/E8ivplfTqnvtb58RTkQCz2eJX0yD//16WKwE7duxAamoqoqKiaGs+uR+LxcLU1BTkcjnKy8thMBj85OQ8fywWC/WQDJW6Ii33xJOPGD0TE13ymXh20H1PYHERNeZ4irlHovdJosHKykrodDqqwRusBhbpiAkAKrWXm5uLhoYGasiblJQMkWgEGzduxJ///Gc0NTUB8IzCoxATE4Px8XGUlpYGfR0MBgNNTU2w2WzYtm0btm9/CwqFHHfddXfQsQXP6DQQ0tPT8cILL+DOO+9ER0c7xGIxLBYzUlNTUV5eEbIrmcFg0MxMY2MjCgsLqcqP2WxGfHw8EhMT/cS2SZ033HvqcrkwMTEBtVqN6Oho8FLj8EXzF3DBiU+HP8Xvan+H1NjA118g5Z9jgcvlhMUiQmYmj5pQO51OzMzMQKFQYHBwkDZCpaaGNu/2RahUbKBGn+MJX7Nk0uH80EMPQSAQYHR0FH19fUf12Nu3b4dQKMTKlSvn6nSPGxYUQYaDWCzGxMQEGhoagi50xxpBOp1O9Pf3Q6/X04gsEEwm05G0aDFdCAM91o4de1FYWIsdOw4gKakW1dXVtBmnpqaGKvx7ducRPdeKCvfCNTOjQmJiIv273W6Dw+H+PxGPTk1NRVdXN9LS0uiC7QubzYbh4WHweG6JtnAD7VNTU9DpdCgtLcHhw4fAYHyv4Ur+JV9mkm5NSUmBVquBVCqlaTXSbs7hsJGY6NbTlMlk0Gg0qK2thdls9htc91wgiJpLTExMRHqfntGg1WrF1NRUSEIKNa8ZCJ7yamw2GzweDxUVFXj55Zdxzz33YN++b/GHP/wBV1xxBVauXAmLxQKDwQCBQEA3J6EISS6XQ6fT4ZxzzsGSJUtw5513YOfOnVAolHjkkUf8IkStVgu5XB7W3YPP5+OJJ55Ae3s7pFIpGAwmlixZGlEaz5OIyEytQCCA0+mEVqul3clcLhdJSUlgMBhUwDzUe0osqcjmmMvl4gvVl37aqpuW+asN6fX6iF53pHC5nDCbh5GREe+10fDs/ATcdXOFQoHu7m7Y7XYkJyfThrTZpmKDNfqQf+12+7yNkXgiUEOQZxdrfn7+UW9CXn/9dVx22WXh3psGBoOhAKAC8E8AD7tcrmOPdI4RPwiCdDqd1Hh0yZIlIZsDjoUgrVYr2tvbaWppZmYm6LHd3d0AgOrq6qDHMJlMxMWxYbVOISvLjqamJhgMDBw6NIKyslIkJvo3XsjlcnC5XDQ1NVEy0Ot1KC0tpV8gMpRtsVhgMplQVlYGPp+H4uISL79Hzy+dy+VCb28vTZlxOBy/2TbPH41GDZlMhtLSUqSlpQU57nvB9ZGRERiNRkRHR0EqdddkSa0LwBEhBTMUikGoVG5RcuLeEh0dBV8vSc/Bc6VSCblcjoKCAnR0tIPJZFF5OM9dOSHX4eEhmM1mcDgcTE9LUVBQCK1WSx/T81iXy4WBgQFwOBwIBAK6UAT7Mrv1VkUBjYdJDfEvf/kLPvjgffztb3+Dy+VCfDwfDoeTCq6HgmdqWCgUIi0tDc895zZL7urqpJZZpIOUiIUT95BwYLPZMJtNMJvN+MUvfoEDBw6gubkZ1113XdBFmGRTcnJy/IiINC8lJibC5XLBbDZDpVLh0KFDsNtt1LUhUJcouW6iotyRtVgsRkp2Cj779jMvbdVgUaRIJAKbzY7YTzI0nDCZBpGdnRw24iWNPnl5ebDb7VCpVNQqjsfjITU1FSkpKRGaIrjheR07HA50dXXRsgSpXZK/z9UYiSeI2IQnLBZLRNmaUBgfH8euXbvwyiuvBD1m1apVAFANYAxAFYD/wG0y+/AxPfkcYEERZKBFyWKxoL29HQKBICKPwqMlSL1ej46ODhQXF0MoFEKlUgWtC0ilUuqHF67JhQxpu0c67JiaGsKZZ9YiJiYOWq2DupA4HK4jM3IjiIuL8xphcLkCeziKRCKqnembJvOUEGOz2VAqlTAYDCgtLY1ontItCJ2DhobGsN2KCoUCZrMJMTGx4PP5R+qmTD/SJSTb1dWFtLQ05OXlQa/XwWg0ITY2Gjwen84nElInNb709DRK1ERI3W63HFGScdB/1WoNxsfHweFwYDabkZaWTmuXgc9dDrnc/R4ePHiQ3u6pxembonZry5aip6fHL+plsVj4zW9+Ay6Xi+3b38Lf/vYSzjvvPDQ1LUFqaipkMhlGRkbAZrNoNB0XF0ejhEC+lkVFRdQya3h4CBs3bsTWrVtRXl5Oo82SkpKw4g1OpxO9vb1QKJSoq6sDg8HA/fffD51OC6l0Ctduug4P738I963aQsmIEDCXyw1LRAwGAzExMdT/kNSmPbtEic8lKQ2Qa72lpRlxcXH4SPqRv7ZqgCiSjLMUFRUdsyWUy+WAyTSI3FwBcnJyZnVfNpsNoVAIoVBI9VLlcjktmZBU7GwUbdra2pCVlUXXgGBjJJ7lkGOF3W4PuJYFOuc1a9Zg165dAR/npJNOwt69e+nvb7zxBk4++eSQfQOFhYVwuVzkS9rJYDDuB/AH/ESQoaHRaNDV1YWysrKIW8SPhiBlMhmGhoZQU1NDGzSCPY7dbkd3dzf4fH7YZhGyuBDx57GxMSxevJju1JKS2EhKYh+RinLi8OFeOJ1WFBd/31JOmnH0ej1iY2Pp7UqlEp2dncjJyUZNTU3ILwkh3khTlKQjtaKiIiw5krEJtVqN7OwcL0FrFovld3+FQgG73Y7a2lqvBYBIhc3MzHiNkAwPDyMzMxONjY1h02gOhwOHDx+GzWZDbW0tsrKyvCJoT7UXp9MJs9kMvV6H6upq6sIS6sdoNEKj0SAlJRkcDhcWi4Uqxzgc3tJvixcvPqLPKgKfHw+Xy+llTWY2myGVulO1NpsNsbGx4HK5mJqaogTiqRrDZDKxceNGvPLKK+jv78O1116LjRuvBpcbBS6XA61W61dT9k1Xj46OQqlUgsfj0W7pu+++G1u2bMHOnTvRxmuHOn3Gi4zkcjm174p0rIOMXKSnpwMALSMQn0uJRAKLxUIVXr63vypG995ub21VuKPILnkX/Z3MscbExNDnOHo4YTAMoLAwPaK5zlDw1EstLCykijajo6PQ6/U06xBM0cZut/uRIzD72uXREKavKEEoq7+dO3dG/LhvvPEGNm/ePNvTccE3pXSCsGAJcnJyEmNjYyHrjYEwG4IkzRMqlcqLuEI9zuDgIMxmMxobG8NeiKT2RsTCFy1aFPA+7vqLHmbzOFatykVhoeCIqLodBoMTOTk5mJqagslkQnx8PHg8Hnbu3ImkpMSIakjuZorIZgfJKIpnzSUURCIRRCIRlixZErZG8b1iTpzXwuY5zEyixpmZGTQ3N0MkEtH0cjiMjo5iZGQETU1NXmmyYB2yfX19iI9PQENDQ0Q1rM7OThQUFGDx4sVhoxar1QqFQo6amhqsWrWKRkxpaWmIiory0ve02WxHNoOdsNlsEAgEiImJoVEHIejY2FjccMMN+Oc//4kDB/bj2Wefxcknn4wzzvglzXh4CqgTOBwOqg5EpAV7e3vp36+66iq8+uarUJtngAngQ/GHqDZXg8/hY2RkBBwOBzExMZiclND0trsO7V5QPdN+bjuqaVRUVGJyctKPsGNiYiCVSqn4Qnd3N3p7eyAUuhu1XjnzlbBELJVKYTabI8oohYLL5YDB0I/i4qyI7cBmA19FG5KqJilxEl3GxsYGJcdACCdS4FkmiJQsAynpHI1hvCf27dsHiUQSrnsVn376Kc4888w0l8s1zWAwygHcDeCto37iOcSCI0in04mBgQGYTCY0NTXNOn0S6Rykw+FAZ2cnoqKiAhJXIB1V4vmYm5sbdnCbDNRzOBwUFRXRjrhAcLlc6OzsBIfDQVlZGTgcFmJimBAKmbBYHNBoBNBqU6DT2SGTyXHo0CEYjUYUFhZCpVJ5Kb34wmQyQSKRRDw7GK4b0hNKpRIHDx5ERUVFWKUfAAHTh74gIyTR0dGQSqUoKChAVlYWFRqIj49HUlKSn66mWq3GgQMHUFpaEtIJxPN4kp6OhBw9FWrCXZMWiwWHDh1EdHQMtSYbHR3Fn/70J2RlZeKxxx73kvwDgJiYGCgUCixZspSOAanVaj+BAgCoq6vDSy+9iDfffBN79+5FYWERrrrqKq+sA1k4zWYzBgYGsHLlSoyNjUEoFKKmpgbA94trcXExWlgt2D2xC2AADocdn45+ig3FGxAVFYXi4mLExsb61Z9JBE1+iAA9n8+HXC73mwm12+2YnJxEcnISLBYLAEAqnYLR6K6J7tixA2azGVFRUTQSI76eJKJ2udyb57y83Ig2cMHgctlhNPajtDQ3oi7qYwWZOSTrhtlshkKhoGudzWZDRkbGrM9lrkQKfAlyLlR8Xn/9dZxzzjl+Y1Pj4+OorKxET08PcnNzsWPHDgDoYDAYPADTAN4E8NAxPfkcYUERpM1mQ3NzM5KTk2c9nEtABnJDwWQyob29HdnZ2UHrKr4RpCeJlZeXhz2Pw4cPo6+vDw0NDVQ2LhjGx8eh0WioFqbL5aJF+ehoNqKjgbQ0QCqVQSweQ2oqF0VFS5CZmY2ZmRlIpVNBRcaJqg0REAgF0sqel5cXljQ0Gg327NmDrKwsuuCGgmdnaSTzap5p3pSUFCoFp9Vqqa5mbGws1YndvXs3MjIyUFPj72fpC9IcEuksqKfwergFzC0A0A+Hw4m0tDR6PIvFAo/HQ1+fOz36xBNP0Ocmqfjo6ChkZWXRY4kYA7EpIxuExMRErF69BmazGW+//Q7eeON1TE9PY/PmzdQyi8ViwWw2QyQSoaioiM4sVlVV+ZGzwqjAfuN+IPH729qdbfil7Zeora2N6HoH3BE5h8NBY2OjVxMYSWcPDg5i5cqV1JrMaDRCq9UiJycXOTk5XqlstXoGWq3uiJqV29eTzeZgcnISDkfkwgOB4HLZYTD0oawsMsu2+UB0dDSys7ORnp6O1tZWpKamwuFw4ODBg4iJiUFKSsqsx0gA/+jSlyiDRZe+BDkXMnMvvfRSwNtJ4xbB1q1bsXXr1vnfpRwFFhRBqlQq5OXlHdNFG45UPXVbQ0WBvkQ7NjYGtVpNSSwU+vr68N133+HUU08NKlhOYLFY0N/fj5SUFGRmZtLdn2czDpFqUygUSE3lIiqKi1WrKmCzcaHRJEKttkOv9xcZdzqdUKtnUFhYFLaj7nsBgeiwtRi5XI7+/j4kJib46aoGw8jIcMSKOWTo3VdxiNh0EQNZIlNHPC5zcyNrsCAi7b66ncHgnhn0F173hU6nO1Ibi4Veb/DKGuTk5ODFF1/EH/7wBwwM9OOaazbi8ce3oqKiAlKplI6N+Ka5iEBBWloa3SCMjY2ho6MDixcvRnl5BbZu3YrPP/8MCoUCDz74IHg8HnVMKSwsRHR0NHp7ewN23gLAax3/8GuMcamBr1xf4c/L/U2HA4FsXDw7XclrIQpI5eXlXpuj6elpJCcnUUINBJvNRqNpjUZ95HPOjcjrMRDc5NiLioqiiPsa5gskrZqTk0NLDkQvloyROBwOJCcnU3nCYx0j8SVLQpS+BEl6Hv7bsaCUdNLT0+d1RycWi9Hf34/GxsawKVLPCNJisdAZv1Dk4XK5MDQ0hF27dqGurg61tbVha6K9vb1wOByoqqoK2KlKOg/1ej0yMjKgVqtRWlqKmJgYxMezkJPDRU1NLOrqElFfn42Ghko6Z9fc3IzpabdQtEajCUnUbo1TM+1ADfb6xGLxEbsmd8QaqfuGWq1BXl5+xIo5LpcrZJqXwWDAYDDAYrGAx+MdMXB2Wyl1dXVBLBZDr9f71S6tVismJsb9RNqDwWw20xR1MAFvwL25GxsbRV5eHpRKZcDjU1JS8Ne//hVNTUugVqtxww3/g71791CXlHDnw2KxkJiYCIfDgbKyMtTW1qG6uhq33HIL4uMT0Nx8GNdeey1EIhFGRkaoUo9b7s0e9P3skvs0xlgAh86OScYkDhw4gK1bHw8pvuHZ6er7/TCZTG7puIICL3KcmZmBSqVCdnZOyGuCjN+UlJQgLo5Hrbp6enrQ39+P6elpmq4NDxsMhl5UVhYvCHJsbW2lUSQB0YvNy8vDokWL0NjYCD6fD4lEgv3796OrqwtSqRQ2my3Eo/uDyXTXjDkcDqKjo6miDxHMJx6jZIP+k5OHGwsqgpwv9QgyR2m1WtHU1BRRN57nubS2tmJqagr5+fmYmpqiFxv5IYTS19dHfQTr6uro34IRk1KphEQioQovvuRIfPoIMe/evZs6ivsiNpaJ2FguMjIAiyUKhw+LkZubiqKiGvpcY2NjNC1JBJkBUGGB1NTUoBsHkpZks9mIjo6GSqVCUVFV2M+MNObExcVF1HHoKckWLEogRG02m8Hn86FWq1FVVYWkpCRkZmb6iVDz+XwkJSWBz+djbGwMTqcropQzEJm83fcuJRUYGhoCEFzZJS4uDo899hgeeeQRfP75Z7jrrruxefOfUF0dPk1NnstgcIuFEw/A7OxsVFVV4Y9//CNEohHccMP/4A9/+COsVis1Pg4l9/bar1/z+r29vR0WiwVlZWW44IILoNNpMTUlxf333+9nzwa4N0CBRk30ej1GRkZoDZOAiANER0dF1FUNgIpql5aWUhcck8nklTVJSEigYzP+16UVen0fqqvLIhJ+n08QcszNDV//ZLPZNINAjJEVCgUVApntGAkBiS6dTid6enqQlZVF0+KAO8tiNpuP/kX+SLCgCHI+QIb/U1JSjqrrTS6XY3h4GFarFYODgwGPsdlslASmp6eRmJhIyXNycpLWBj0JlcFgoKOjAy6XC+np6eju7vYiXRK1FhQUIDo6GocOHYJcLseyZctoZ2wgkgYAi0UPrXYMS5ZkobIyAxqNA1ptCjQaO3Q691zm5OQkOBwOkpKS6EB/MBJwu8cPUpJpa2uL2H1DLBZ72TuFAolEoqKC1wYJUXM4HOTk5KClpQUpKSleix4RoSaWTmSEpL+/n0rORRLJEjeVvLy8gAPTLpcLEokERqMRZWVldPEK1/jD4XBw1113ISkpEXa7A8XF/pqsgeAWKRhFfHy83yxrfn4+HnnkEWzZsgXDw0N48MEHceONN9Ih84KCAj+5v0DwnKtMSEjA448/hs2bN+PAgf24/vrr8PjjW72e2+0gMgoeL84r+0PSzaWlpX7vhacSUaSNIKOjo34RakxMDPXJtNvt0Gg0QZw5nDAY+lBTUx5Ro9p8wmazoa2tLSJy9AXDwxiZjJGQrliDwUCzIsnJyREFAcTwITEx0WtDp9VqsWXLFpx66qmzfXk/OjDCtM/PznvqGOF0OmedOgiE7777DkuXLoXBYEBnZycd/p8t9uzZA7vdDpfLhWXLlvlJQREz1u7ubhQWFmJ4eBgajYaOAZDFPDY2FgkJCV73Gx8fx9jYGAoLC71c28kuUSKRIC8vDzExMTAajejt7UVKSkrIGh7ZFRLvxoaGBkRFRXnMIzJhNjNgNLJgMjFhMtmOeD32QSAQoqioCElJSYiNjaUEbLVaIRKJkJPjtuHq6emB2Wz2G4sJBKPRiNbWVggEApSWloZ9vycnJ6mTfaAUmCdRp6eno6+vDyqVKqIZSZfLhfb2Nuh0euTl5UGn0wEArWn6RqtOpxOtra1wuVwBR3oImTMYDPqZtLa2wul0RCSuAABdXZ3Q6/VobFwELpdLO6SD3VckEkEikdDOWE9IpVKo1Wrk5ubioYcews6d34DFYuO8887DGWecgZiYmKBdsQQOhwPNzc3gcjmoq6unGxqxWIxNmzZBLJ5AaqoAW7dupZ3CExMTGBsbQ3V1NSUfIjsXSN7PbrejubkZMTExqK0N31AFkJp3P0pKSiIiFVKfnpmZgdE4g5QUI/Ly3A15J7KudizkGA6eYyQqlcpvjMQXLpcL3d3diIuL89oYGwwG/OY3v8Hvf/97XHbZZXN6jmGwIOYefbGgCNLtv2Y95sc5ePAgsrOzMTo6itra2qPOpW/btg18Ph9Lly4NuGAT+5+6ujpoNBq0traisrLS64IjGqKes01GoxHffPMNUlNTsWjRIq/Ianx8HBKJBFVVVXRkZf/+/dDpdFi6dCklXk+y9STtyclJ9PX1obCwEEKh0I/QPf+v09nR0jIAi4WDzMx8GI1GGAwGWK1WxMXFgcNhHxFjz6Bem5OTk8jISEdiYhIt8Hv+sFhMOivnFlk3o7y8AtHR0QGO/V59xm63o6urC3w+n5oDex7nFiQYREZGJlJSUqBWq6kcVyQC49PT0xgcHERpaSndLNlsNszMzECtVtPBdTJCMjU1BZFIRLtoPeFwOKgVGbHNmpqawvDwcFBy94VCoaCfU0ZGBgYHB/E///M/WLRoEe69914/wjeZTHSzUVJSQm/3jGKLi4tp2uyvf/0r3nrr/wAAV111NdXCtFgstOnFsyuWz+dDLBZjfHwcNTU1fvVTtVqN22+/HZ2dHYiNjcODDz6I2tpa2nVOOl2J7Jp7XMk/Sh8dHYVYLEZdXV1EGQin04nm5maw2WzU19fPKgPkcplgNA6gvLwEZrMZcrkcFouFNr0kJibOu8YpASHHY21CjBTEek6hUPi9ZgaDgZ6eHkRHR3uNZ5lMJpx//vm44IILcOWVV877OfpgQRLkjy7F6nK5aBdkJFFOMOj1ekxOTuKUU07xW/CIwMDMzAwVKu/p6UF8fLxfhOdbgyTjIgC8DJZdLhcVIfDUmyVed0uWLAnbXWqz2SAWi9HQ0IDly5eHXUwGBgYQEwMsXrwYsbEJUKlsmJmxQa22QCKRQCaTISEhEbGxsYiLi4NOp0NhYSHKysr8VGa8VWocUKlmMDOjplZTBoPBS27OF5OTk9BqNSgoKPRyNgHcTVKkjqbV6sBguMnX5XIhOjoaMzMzNM0cSPqNNDrFxMRQGT1yHOkSBdy758nJSWg0GkxMjCMzM8uPKOx2O23YIvez2WwRN9oARAlGhNjYWDoCZDKZwGQysWfPbtx888149NFHvZ6bRKuemwGXy3WkpupESUkJ/byZTCY2bNgAk8mIjz76CC+//DfI5XLcfPPNiIqK8uuKVSqVGBoawujoKLKysgLWGRMTE/HUU0/hoYcewrff7qX1XAD0nBQKBZVgDJTKJYbRAoEgInIE3NeFxWLxen2RgJBjfX0N3SBnZ2fD4XBApVJhenoa/f39iIuLo5HW0a4V4XC8yRFwp59zcnKQk5MDh8OBmZkZyGQy9Pf3w263g8fjeZGj2WzGJZdcgnPOOQdXXHHFcTnHHwJ+VBEkGf7X6XSor6+P+EsYCN999x0OHjyIq6++2isV5SkwUFZWBiaTie7uboyOjuKkk07yq3FMTEzA5XIhNzcXLpcLk5OTOHz4MCorK2mjiN1uR2dnJ60tkIXAarVi165d4PF4WLZsWdgForOzE2KxGCeddFLYWUODwYA9e/YgLS0NDQ0N9HZ3J64IYrEaWVllMBoBrdatUysSiVBZWYmsrCwkJSUFXVDsdjtaWlrA4XAC7vo9U9UkNdTZ2YH09HRkZ+d4ka1arYZYLEZubi5tIpielmJ8fAJ5eXmIj4/3kpLzJm63RuvU1BRUKhUKCvIRHR1+PGBychJyuRwCgQB2ux0cDgd8Ph8xMTGQy+UQCoVHog+3YPrk5CRUKhUqKiq8dFV9o2Tyr1QqhVgsRmVlJZKTk+lxo6Oj+MMf/gC5XIa8vHw88cQTSE9Px8zMDLq7u5Gfn09rs55C39nZ2V7vsXue+DA1PN6y5X7YbFacdNLJuO+++wI2P/X390MikSA3N5e6qwRKxRKZN6FQSJVfCgoKMD09jZmZmZBCCrNJiZPXcfjwYSQkJKCysjLs8QQulxFG4yAaGmoDkv33x7nl70ikBRx900uo13C8yTEYiGGBe7aUh+npadx2221oamrC8PAw1q5di5tvvvm4W20dwYKMIBcUQQKYRcu2N0wmE50pUqvVyMnJCdmWHwoTExPo6OiA0+nEGWecQVNFZrOZLgpE1FitVmPfvn3Iy8tDVVWV32NJJBLYbDbk5eXBYrFg165d4HK5WLlyJY0c3JqqOX4SUx0dHZBIJBERHjmP/Pz8iBaTgwcPYmZmBqtXr6aLFYm0mEwmJX+n0wWJRI2vvz4IPj8D6elZVDMVcEcWycnJXosoSaMFStX5gtQGrVYbGhsbvRZXuVxOHUXIZ2C1WtHS0gwejx/SSYXAYDCgra0NAoEAhYWFXmlmX1J1uVzQarXo6emBQCBAZmYmHXJXKBRHxlvY4PN5iIvjgcvlHhEGGEBiYiLS09NDRskAYLfbMDw8gri4WGRn+89tajQavPrqq5ieliI+PgFXX301zGYzGAyG15ykRCKhzTqe0TOTyYRYLIZSqURVVRV4PB76+/tx//33Q6/XoaysHA8++KAXMev1eiqcQTIgoVKxTCYTnZ2dtM63e/duXHzxxSG1e7VaLTo6OryeIxyGhoYwPT09K7lJl8sAs3kYDQ11s56VJNqpcrn8qJpefGGz2dDa2npkBOnEk+PAwAAAeM3zSqVS3HDDDZDL5VRC88wzz8QZZ5xxTAbUR4EFSZA/ihSr7/C/Tqc7Jsurvr4+GiE5HA5wOBwqnF5RUUGVSDzVdYI1oRBFE4fDgcHBQVitVlp31Gg06OnpQUVFhV/kOTPjtoTynR8LBOKQERUVFVEzzNTUFBQKBSoqKig5kpGS1NRU5ObmeqTrGBCL+5CZycTq1eWwWlnQaPhQq7NgMPirvMTExEAikVB/vHCQSqXQ6w1eaTkSaev1er/h+dmPabiNkAsKCsBms0N2cZLnFQqFWLRoET1Wp9PBarWisbERXC4XGo3mSAOIW7w8KysTK1eu8mpICRzRumUUc3JyUFVVhaioKK8UNfn/li1b8NRTT6Kvrw/PP/88LrnkElpfJCbW8fFuM22FQk4F0gEcEUgfQWJiopcnqKfQ+dVXX43LL/89UlMF9D212WxgsViQy+V+tWQGw13DHRkZOXIt26FSzSAvLw9PPvkkjEa3P+LmzZuRkJAQMHoeHBwEi8WKeKzDaDRienoaaWlpEZOj06mHxTJyVOQI+GunkpGj4eFhREVFQSAQRKxuQ8ixoKAgrHvOfIOUb5xOp5fMo91ux+23347ly5fjzjvvhMvlQnNzMz7++GMUFxejsbHxhJ73QsCCI0hinBopJiYmIJFIsGjRIi8Fj6MlSOI7WV1dTeerpqamMDo66reTHR0dhVarRUNDQ9CxAWIcy2QyMTo6iuzsbDpaMTY2hvr6er8vsyfheTZkBMP4+Di0Wi3q6+vDtvHb7Xb09PR4zVOaTCZ0dHSgoKDAb6crkUgwMzODmpoacLlccLkAj8dCVhZgNkdBrY6FRpMOnc4tuH3o0CGoVCqkpKRApVIhISEh6O47UO2OpPAYDAZKSkq8mih0Oh2mp6eRlZUV0aJJBAoiHeuQyWR+83wzMzOQSMQoKyujBEiE3GUy2RHh7SQMDAwgKiqKupBwOBy/z0Kr1cJoNKK0tDRsPfm5557Hn//8Z2RluZ1Mqqurj5hS92P16tV+cnEAqI9gVBQXtbV1tP5KouWamhrcf//9GBkZxosvvoQ//vGPNPovLS1FUlKSXy2Z2IgR+buYmGh0dXXDbDZBJBLhF7/4Bb788gv09vbgtttuw+WXX+53blqtFhKJBBkZ6dRSjGirEk9PX1KdnJwEn8+PqAELAJxOHWy2UTQ21s+JeTKTyURycjJ9LZ7qNna7nUrBBVK3WWjkODw8DLvd7jXm5nA4cN1116G0tBR33nknnb9uamoKagD/34gFR5CRggz/22w2v+H/oyVIlUqFiYkJFBYWUsshkUgEi8XiJ5xORKBTU1MD7orJIkMWnR07dkChUCA7OxudnZ3U3SMQoY2OjkKn06GhoSEiYWxPqbpwGBoagsViQUNDg1cUW1lZ6Rfx2Ww29Pb2IjExMeBcYnQ0E+npTKSnc2CzRWFgQAuBIBa1tdXg8eKhUqkgkUioy3xSUpIXUY2OjsLhcKKg4Pta7NDQEPh8PjIzM70WHvJF53K5EXn2eeqnRiJQQGYM+Xw+3SR4CgD4fg4OhwNjY2MQCASor68H4L4mZmZmaCrLt4YXqa8iAERFReG3v/0tFWw3m8347rvv0NjYGDQy12g00Ol0KCgoDJh1SEpKwosvvoh77rkH+/d/hwceeACXXnopGhoaIu4QFYvFtMkjMTEJQqEQp556Kh566CFMTkrw/PPPY/PmP6G2to5G0R0d7SgoKEB5ebmX3VgwGzK12q2yU1lZGdHGxuXSwmYbQ2Njw7w12sTGxiI3Nxe5ubmw2+1U5KO3txd8Ph8CgYCS6UIhR8DdRW+xWFBZ+b2FntPpxE033YSsrCxs2bLlRNUcfxD4QRJkuOH/oyFIp9OJzs5OREdHo7S0FA6HA2q1GgkJCWhsbPR7jp6eHjidzoB1ME/NQyaTCavVisTERKxYsQIKhYKm00itKzU11avOOTAwAIFAEJEFDym6B6p/+kKv10MkEiErKwvJycmYnp7G6OhowCgWcHe5EvWhcF8iJtOJ6el+lJbGYsWKIuh0Tmg0idBoHNDrTVCpVJQ4CFFOT08jMzMTcXFxR6KjAaSnpwfsBJ2enoZer0dZWVlEDi9EPzXS7seJiQnYbDZavxWLxVQAIFAETDwNPR+fDK5nZmZSDVFyHjabDQqFArW1tRGdv16vx/T0NNLT0+FyufD555/j6aefxtlnn43rr7/ebzzB6XQeETyPDnndxMbG4pFHHsETTzyBDz/8AK+++gquueYar0atYLDZbJiYmIBeb0B+fgEdcamvr8err76Ku+66E4cPH8aWLffjyiuvxNKlS2EymcDhcFFbWxuRgo3L5UJbWxuKi4si2vA5nWrY7eJ5JUdf+KrbEB1akUgEo9E4q7TwfEIkEsFkMnl1yzudTtx2222Ij4/Hww8/fNzGXH6oWHAEGS7FqtPpwg7/Hw1BDg8PQ61WY8mSJbTzLDY21q9DEHA3j0xNTaG0tNSvS85zR0x8IHt7exEXFwe5XI6MjAxkZ2d7uY+3traCzWZDIBBAIpHA5XJF1GijVCoxOTmJoqKiiGY9iVpPWVkZRkdHaUdhoF26VqvF+Pg4cnNzI6olDg0NwWw2o76+HiwWE4mJTCQmso+8zihotXyo1dnQ6y1QqVTYv38/jEYjsrKyoFAojlgY5QV8rlAKMoHgqZ8aiXKKp9MIsaZyuVxByZWIb4d6fKIhKhAIYLVa8e2338LpdFCi95X788XoqAgsljvN51YX4sLpdOA//9kGhUKBO++804sQiF9oRUVF2EWPzWbjpptugs1mxWeffYYXX3wRarUG1113Xcj7jo6OYnx8HE1NTX5RMI/Hw9atT+Cxxx7Drl27sHTpUqSkpGDv3r1gML6XLktMTAxZH5yNyo7TOQOncxKNjcFLHPMNBoOBhIQExMTEQKlUoqyszGtkKykpCQKB4LjOXALfZ6Gqq6u9yPH2228Hi8XCX/7yl5/IMQIsOIIMhenpaQwPD4cd/mez2bPSETQajTh8+DBkMhltgsjPz4fBYKDmwd+r0bjHKZhMJrKzs9HT0+Mn98ZkMsFms8FisdDX14fp6WkkJSWhuNgtkmy328Fisbzcx00mE/r7+3Hw4EFkZWVBJpNBIBAEfZ1OpxPd3d2Ijo6OyP9wcnISSqUSFRUVGBkZAQDU19cH/JIQlQ02m42ysrKwj20wGCASiZCZmelXf3K7rLPA57vrliZTFHp61EhPT0ROTtMRqTIR2Gw2lEolnE4nbUAhGBsbg8PhmFP9VE+MjIyAyWQiJycHg4ODXgIAgUA8MyPtxiSyfosWLQKfz4fBYIBarcbU1CRYLDatW5LaGamdpqamYnJSgtLSUtTU1CAlJRV33nknduz4CiqVCg8//DB4PN6RyM4twB6pR+L4+Dh+9rNTUVNTi7/85S/Ytu1/IZfLcccddwSU1dNqtWhubqbepoHAZrNx++2347e//S2ysrIwNDSE5ORkWhtXq9W0Ici3KxZwb4TGx8fB5/PDzpM6nSq4XNKIyhDzDavVira2NhQWFtLzJjOXnvOHx2PmEnB/XzQaDWpqarzcPO677z6YTCb87W9/+4kcI8SCG/Ow2Wx+4t6eg/l1dXVhd4symQwajSaiBhfAPfIwNTWFxMREr7GCsbExqldK1GfILrq0tJT62nmq1HiKjet0OrS0tIDBYGDJkiV+zQO+jQnd3d1gMpmora2FTqeDVquFzWbzsrshxCuRSCASiVBXV4f09HQvXVbfH4fDgV27doHNZoPH4yE5ORn5+flBCUAsFqOjowO1tbUR1ctIY86aNWsCLq6esNls2LlzJ3g8HnJyCtDTM46srDJYrWxotW7NVK1WSxteOBwOuru7kZaWFtFGINDMYCgolUr09vYiNzcXBoMBycnJIWXAiIIPqUeFA1HASUlJCbjZMJvNdJzCbreBz4/HxMQ4bDY7BIJUlJV524kNDAxg06ZNUKmUKCoqxhNPPAG1Wo3p6WnU19eHnPsj0Ov1XjOMBw8exF133QWj0YD6+no8+OBDXpG83W7HZ599Ci43CqecckpE0RoZr+nr68PQ0JCXOhARKJiZmaG2SomJidBqtZicnERtbW3Izm2HQwEGQ34kWzH78Yu5RCByDAQifyeXy+nMZUpKCt0Ez1UdcGJiAkqlErW1tZQEXS4XHnzwQYjFYvzjH/844e9ZECzIQuiCI0i73e6VHiUSZJ6D+eFAZpkiMXqdmppCc3Mz/ZJ61ojGxsbAYrHoQqvX67Fnzx6kp6fTmg2pN9rtdq/mA6vVivfeew8qlQobNmwAh8MJKA1HxKRFIhHGxsZQUVEBPp9P/0ZqWSqVCjqdjqrakJRjJJsAsViMqakpxMXFoajI7YPnS6KEqEmrd1xcHBYtWgQOh+P1d98fhUKB9vZ2L+GDUOjq6sLExARyc3NhsVjo++1wuKDVOqDROKDR2KHXmzAzM4PDhw/DarVi2bJlEAgEITsUw+mnBjq+paUZdruDptMDdYcSkPqY3W5HY2Nkequ9vb2YmZnBokWLwm4e7HY7+vp60d7egczMTOTm5iI5Odkvop6cnMRtt92GiYlxZGfn4Prrr0dGRkZEGwjAPV9rNBqpZjAADA4O4g9/2ASFQoH8/Hxs3eoWKbBarTh8+DC0Wi1qamrCdt8SdHd3Qy6X4/HHH4dGo0Z5eQUeffRRvwiXEIdMJsPBgweQkJCI+vr6oKlYh0MGJlNF3XJOJKxWK1pbW+l3arb3VSqVUCgU0Ov1SEhIoI0+R/u6iBVdXV2dFzk+/vjjGBgYwBtvvHHCo+0QWJAEuWDfLcB7+D+SaIAg0hokUbCRyWQ46aST/AxxfR+nq6sLLBaL1gc9O+9YLBa9+JxOJ/bu3QuLxYKLLroobLMNkThbuXJlyGYJp9OJmZkZfP3114iOjkZ9fT0yMzOpvqIv8RIx9aGhIcTExGD58uXUVsuTgD2PHxkZgUwmQ0VFBfr6+kKet8PhoHVNBoOBgYGBoERK5kE7OjoAuCPJ0tJSugkhP9HRTMTGMmE2u+u3iYlxyM5211FGRkZgt9tpR6yvrdHk5GTEdTjA3Wij1eoQHR2N/Pz8sPOmoYyNAyGcG4gv3J23o0hJScHKlSthNBrpPKxnJ3BmZiZeeOEF3HHHHVixYgU4HHbE4xAKhQJardZP8aakpAQvvfQ33HbbbRgdFeHqq6/GQw89SMc8UlNTI2oaI697ZmYGJSUleO6557Bp0yb09fVi48aN2Lp1q1dqmsFggMfjYXJyErm5brENs9kcMBXrdMrB4WhQWxu4NHA8QcixuLg44rS2J3xnLonQOJm5JKnYSOc5iTSkLzk+/fTT6O7uxr///e+FTI4LFgs2glSpVOjt7aXD/7OBTqeDSCQK6xbQ3NyMnTt3Yu3atQGjTaIDWVBQAIlEgra2NlRXVyMvL8+rGcczrUp23ENDQ6isrMTixYvDni9JUXqq2gSDXC7HoUOHUFJSgvT0dMhkMiiVStrkIxQKvRbjTz/9FENDQ7j00kvDNqxoNBrs27cPubm5qKio8CJOEumS/xNlDiLW7hn1BouS29vbMTIygurqaqpSEwxkpo/D4aCwsAJGIwtGIwMmkwsmkwkmkxEWixVxcbFISEhETEw0hoaGwefzUVRU5Kcu4/k7ET8/fPgwjEYjTj31VC8HE/KvJ9zHH0JcHA81NeG9G10uF3X3aGxcFHZBd7lc2L17N5RKJc444wy/LkiTyeSnYOT2VRShoKAQWVlZUCqVIRdrEjGzWMGFv3U6He644w60trYgKioaN9zwP0hNFUQswv7963bSKF6pVGLz5s3o7e0Bj8fHww8/7LUR9E35EnimYplMFVJSgOLiYggEghPWlAMcOzmGA5m5VCgUtMRChDcCfWZTU1OYnJz0Sjm7XC688MIL2LNnD956663j1uF7DFiQEeSCI0gyv0ZsfY5m6NdoNKK/vz9kNDY6Oort27fjpJNOwvLlywMeMz09DZ1Oh7y8POzcuROxsbFYsWIFPU9fciT2Wnq9Hna7HatXrw67A5yamkJraysqKirCNpU4nU7s3r0bALBq1SqvRddkMkEul0Mul8PpdCI1NRUSiQQtLS341a9+FTb96XK58N1338FoNGL16tVhF6BgWq7BIBKJ8MEHH2D58uVYsmQJfU7fiJf89Pf3Y2RkBI2NjeDxePR2s9kOtdqditXp7NBqdTRKJtEjiai/H3T3J+KhoUFMTk4dEWoP3JLvSajETop0LnuqxAQiYLlcDrFYjNLSUqSmpvoRtefxZMRIJBpBbW1d2M/KZrNBpVLhu+++g91uw6JFizE5OYl7770H11//Pzj77LMD3k8sFmN0dNTLmioQ1Go1tmzZgkOHDoLBYOLiiy/CNddcG/KcCKRSKYaGhvwI1Ww247777sPevXvAZrOxZcv9WL16NQBi+2XwSvkSuFwu2O2TiI42ITc3F0qlkgpvkBGpSOquc4X5Jkdf2O12qFQqyOVyaLVa2sCUkpICDodDdX0bGhq8yPGVV17B559/jnfeeSei7MUCwIIkyAUXc09MTEClUvkN/88G4VKsYrEYn332WdgIjzwOESSoqamhkSMAL4JSKpUYHByEUCiESqVCWVlZWHIMpGoTCsPDwzAajWhqavKLSGJiYmjjiMViQVtbGw4dOgQej0fNZOPj40M25qjV6oiaoAD3HCiDwUBFRUXYY7VaLT7++GOUlJR4qXQQgvH9nPV6PTQaDaqrq0M+vsPhgkbjwNiYEjExXCQnuxse1Go1WCwW7Q71lXQbHh4GwMCvfvUr6nbgKw3nGQEbDAY63xYXF+uVmvZWnHETsd1ux/DwMKKjoyGVSqkhdSC4XC5IpVLMzMwgJibmSApUQxVmPInYk1zdurAslJeXw+l04rvv9sFsNuOJJ7ZieHgIV1+9kXqBMplM2O12TExMICUlJSQ56vV6jI+P489//jP++te/4qOPPsSbb74JDoeLyy+/PGQziec4jm+0GR0djQcffBB//etf8cUXX9DNoFKphFqtQWFhYUBytNnE4PHsqKysAYPBQGJiIoqKiqg+7sDAwHGzsCLfq+NFjoC7M1goFEIoFFKvWLlcjvHxcZrR8UyrAsAbb7yBjz76CO+///4PhRwXLBZcBGm1Wmk36NGCmLIuXbrU63aSFhwaGoLD4cDixYtDDiMTF3qlUon8/Hy6GHlGjcD3TTDV1dX47rvvwGazcfLJJ4f9ovb29kIkEmH58uVh08iRRmykrjo9PQ2n04lly5bBbrfTHWhiYiJtBiDn59lZGiya9oRUKkVLS0tEUa9Go8Enn3wCDoeD0047LaK5xIMHD0KtVmP16tVhv+AulwvffvstzGYLGhtPhsHAgFpth8FgoV6PdrsNCQluVRu1Wo2WlhYIhcKIN2HE2HjRosUhNw+EZIeGhiCVTqG6ugbR0dEBBdIJybrJ2q3iRAQc3Mc54XD46rS6idhqtVI/Sk9VoUOHDuGdd96By+XW3DzllJ8hISEecXE8KJUKaDRalJaWIiYm2ouAyb9E/7SgoAAMBgN9fX0YHBzEe++9B8CFn/3sVNxwww1+jVskEiayj+G8HhUKBVJTU4+kfFsAuPzS0G5nnwkkJLi89EMDgZRk5HI5NBoNeDwereHNVSqWkGNJSUnIRq7jBZlMRkerVCoVnnnmGTAYDGRmZuLw4cP45JNPFoRYwSzwUwQZCdhsNmw22zE9RqAI0m63o6OjA1wuFywWK6hEnCeYTCb6+/uRlZWF4uJiP3IkhEuErMlw8LJly8KSo1ar9dJmDYdIIjbSBJOYmAin04m8vDz6ZRYKhVSAWS6XY3BwEHFxcRAKhZienobdbo9IjcfhcKC3txc8Hi9sY4hcLkdnZydiYmJQVFQUETlKpVIoFApUVlZGtPudmJigOrTJyVFITgZycrgwGqOh0cRBrc6AXu/uBB4aGoJMJoPVaoVAIIhoEzYbPVcGgwGz2QylUomcnNyQNTuiq1pXV4eRkRGkpCSjri4yubehoSGwWCzU1HgTcHV1NaqqqvDoo4+ir68PXK5brm5mZgZSqVu1KCEhAVFRUV4RM1H5kctlyMjIxMzMDMbGxqDX67F48SLEx8fj3//+N77+egcmJiZwySWX+H02brIfQkJCogd5MgMSMYPBgFqthlKpxDfffA2xWIzy8gqPmV8XrNYxJCWxUFpaFvY9YbFYVJTBM8pqbW2dk1TsQiNHuVyO0dFRKvKRk5ODZ599Fo8//jjee+89cLlcXHbZZVi7di3OPPPMkGNLBBaLBddddx2++so9Y1tcXIyHHnoIv/zlL/2Oveaaa/Dmm2/S3202G7hcLnQ6HQBgzZo12L9/P80IZGVlob+/f45e/fHFgiPIuYDvF8poNKK9vR35+fmYnJykws3hQBbfU089lRrseirhd3Z2IiEhAaWlpX4ybqHgOYgfySiKVCqFXC73ct/whU6nQ1dXF8rKytDb2wsul+vn7OEpwEyUfIaHh/HNN98gNzeXzh+GIqbh4WGYTCYsXbo05CZALBZDKpWCy+UiNjY2IsGB2ZAv4P5i9vf3Izk52W+zExvLRGwsFxkZgNHIxsGDImRkJMBkMiE+ng8Wi4Wuri7ExMTQVGwgvdXZ6LkC3yvghDp/s9mMwcFB5ObmQqPRwGq1oqwsPBEA30vQke5lX5x++unIzs7GH//4B3R0tOPNN9/EVVddhfj4eBQVFUGn08FoNILH4yEpKQnx8fFQq9XgcDg46aST6EC/w+FATk4OsrKysGLFSViypAl33HEnBgcH8Prrr+Oee+6hGzGn04mhoUEIhWnU8iqQpZjNZoPFYoHT6YDVakN3dzd27doNnU6L6667Do8//jjS0oQwm0VITY1CcXHxrDNJDAYD8fHx9PUeayp2oZGjUqmESCTyM0j44osvsHfvXhw4cADx8fHo6+vDRx99hH/961+49dZbwz6u3W5HTk4Odu3ahdzcXHzyySf4zW9+g87OTr/yz4svvogXX3yR/v673/3O77189tlnceWVVx7bi10A+FESpCdIN2x1dTUsFgukUinKysrCph9MJhOGh4cRExNDjyVfVuJ+kZ+fT3dnZNwhkpoccciora0N213mcDjC1ikVCgWGhoZQW1sLlUoFjUYTtpZI2usNBgNqamqwZMkSzMzMoLOzEy6Xi+7IPXfdBoMBIyMjyMjICFqDIaLiRqMR6enp6OjoQHV1dURddCMjI5R8I1kYiTt6KFk+t9RfB4qKhNBqtbDbraiuXgaXK/bIvKV7lKKvr8+rbhkdHR1QbzUUPKPNYC31BoMBw8PDtOZGJOsi9S6NhIArKyvxwgsv4k9/+hPWrTsLWq0WRUVFVD/U6XRCr9djZmbmiGC8A9nZ2dTHcnRURI2YSQq6vr4Bf/vb37Bp020YGRnGn/70JzzxxBPIz8+HVqsFwEBdXV3E4yYikQhOpxPPPPMM7r33XoyMDOOmm27E3/9+PzIzvY3DjwXR0dHIzs6myjYqlQpSqRT9/f1hU7EWiwWtra0oLS1dEOSoUqkwNDTkR46ffPIJnnnmGXz88cf0OqqoqIhoLSKIi4vDfffdR3//1a9+hYKCAjQ3N4fsjzAYDHj77bfx0Ucfzfr1/BDwoyZIsVgMsVhMB96/+eYbKBQKZGVl0QjOM/VDfmexWOjo6IDFYsGSJUswMDAAs9lMncYnJiZQVVVFL0axWAyVSkUtoULBarWit7cXSUlJEQ1dk7RtsLb8iYkJTE9PU++23t5eJCcnR/TYYrGYkinZdefl5cFqtUKhUNDnTklJgVAoxMDAQMg0LxFg53A4qKiowO7duxEfHx+R+4bRaMTw8HBI8vWEVqvFxMQEcnJygs4vkpRzXl4eYmJi0NXVhfz8HOTnu1PaLhcXWm00NJp4aDTZtG45OjoKo9EIiUSCrKysiMjLbdMVOtrUarUYGxtDSUkJYmJi6JxppJJ1hIADNbT4IicnB6+//jra29vBZDKRnp4OvV4PHo8HJpOJ+Ph4GI1GxMTEIDs7G1qtFkNDQ1CplFCpZgLKEGZnZ+OFF17E5s2b0d3dhWuuuQaPPPIwGAwmuFxuxCICZrMZU1NTEAqFKCkpwQsvvIC7774L69c3ITs7MWKJwNliNqlYQo5lZWWzHjObD8zMzGBwcBANDd6i7F9++SUee+wxfPLJJ3NK4tPT0xgYGAhbdnn77bchEAiwatUqr9tvv/12bN68GWVlZXjwwQexZs2aOTu344kFR5BzsWt0uVw0tUIaMfr6+qDT6SAQCKBQKKj6jW+TksvlohdjVlYWxsbGAHxvrzUzMwMul0tTe3w+H11dXbSep1QqvQbfPUmXzWajv7+fdrnq9Xqvv5E0LgGZ5wyUtvWsf5IW746ODjgcjohqiZ7G0L4LG5fLRWZmJjIzM+FwOKBUKtHW1obm5mbU1NTAYDCAy+V6LaDEcFkgECA3Nxd9fX2wWCwBnVACobe3FwAi3vWG04olIzdkgdu/fz9YLJZX2tktNM1CQgLryH2iaN2ypcU9g8nlctHZ2UkH1okNmi8kEgnMZguqqwNHm8RXsrS0FFFRUXQwPCcnJ6JRJuKTGRsbG/HA/vT0NMxmM6qqqnDo0CHce++9uOeee7Bs2TJIJBKYTCaUlpaCyWSCx+NBKBTi4MGDSEhIgNlspq87KSmJaqYmJSXh6aefxpYtW7Bnz27cfPPN2LDhNzjvvPMiHkQnWrYk2kxI4OORR65HdnZKxBHosSJUKtZkMsFqtaKwsDDiyH4+oVar6diaJzl+8803eOCBB/DJJ5/MWsknFGw2Gy6++GL89re/DVsCev3113HZZZd5XfOPPvooKisrweVysW3bNvz6179GW1sbioqK5uwcjxcWXBeru3vNetT3Jwu1VqvFqlWrwGKxoNPpsGfPHmRlZaGurs7reF9VGbPZjN27d4PJZGLRokUAQKXgSKrK5XJBo9FAJpOhu7sbOp0OjY2N1F2EDMb7zt/p9Xr09fUhLS0taFTlqURDIldiBu1JoqQ2VlBQADabDYPBgJaWFuq750nMngRM0NnZCbFYjJNOOimsgozD4aDvSVVVFRQKBWZmZuiiGhcXR/VP09LSoNfrsXfvXmRkZPi934FAxA/Kysoi+hJNTk5S0YZAeqjE47K6uhp8Pp/OmlZVVUW0ACuVSuzdewBCYSFSUvKPzFtqoVarodVqqSwhqVtaLBY0NzcjOTk54IKiUCgwPT1NrbpcLhfa29tgtbo9QSPppCUzjFVVVRFFNFarFc3NzUhISEBlZSWeeOIJvPvuO2AyWbjqqquwYsUKvzTm6OgoxGIx1UJ1Op10UJ/IHJLXzWAw8NRTT+Hdd98BAFx33fW48MILw26GtFotOjo6kJOTc+SzcMJoHEBuriCiTMN8w2w2o7W1Fenp6TCZTPPWFRspNBoNent7/WbC9+zZg9tvvx0ff/xxxBumSOB0OnHRRRdBq9Xi/fffD/l6JyYmUFBQgIGBgZCzu2eccQbWrl2LG264IdRT/9TFOt8wGo1UOJg0BjCZTHR2dtK0ny9IizqbzQaHw8Ho6Cg4HA6WLVuGlJQUKqeWlZWF1atXey0AJJoUCoVISkqCUqmkvwsEAnC5XC8lmT179qC+vp6On/gqzXj+XyqVwmaz0XqWxWKB0WikDR5EyLu/vx8ulwu9vb2w2WxISEjAgQMHAr4/DAYDTCYTJpMJfX19yMrKovJ5hEADRb7j4+M0Ve1yuSAUCpGRkQGTyYTJyUnIZDIkJibSJoyenh4wmcyIGpCIK0lsbGxEqTW73Y7e3t6gqVtSjyUel6Txh8/nRyQu7nK5jtR8o7FkSckR1R0XNJpoaDQp0Grt0Oncbhx9fb1gszlQqVSw2WwBU6VEYMDTx1Imk0GvNwT1mvSF1WrFxMQEkpOTI073jY+Pw+l00nO69dZbERcXhzff/CdeeulFOJ1Or0XNbDZjcnISqampdMPEZDIpIRLNVPfrdtdrTznlFBiNRnz++Wd4/vnnIJNN44Ybbgz5mkQiETgczpGshRMGQz8KCtIjTs/OJ8xmM9ra2lBeXk7f5/noio0UhBzr6uq8yPG7777D5s2b8eGHH84pObpcLlxxxRWYnp6mo1mh8MYbb9CNViiEszBcyFhwBHm0KValUom+vj7U1NQgPj4eEokEDocDU1NTYRtiSKed5+hFSkoKrWFlZ2f7dUm6XC50dXUhOjqaWu4UFxdTxX5S+yHyb9PT03A4HGhqagrbdm2z2WhdccWKFfQ90ev16OrqwkUXXUQ7UUmnpcViQXV1NQQCgVcEG4h8m5ubkZSURLVnHQ4HjEaj1zGkYcNisaCrqwuJiYkYHR2l6TEA1H0hPz+fqhdNTk5CLBZTYXmiOuNJwJ7kK5FIMD4+jsbGxiPD7/6Rr6eYwPDwMCwWCxoaGvyulcnJSUgkEjQ2NtLPenh4OGQN1xcTExPQ6XReyiRsNgMpKWykpLDhdHKh1UZBq02AWp0NqVSOoaFBxMbGYWhoCImJ7nnLmJgYqg1L0pjA98P0xIU+EoyNjXmRXTiQTteMjAzaYOZyuXDaaaeBzWbhtddex8sv/w0KhQI333wzWCxWWAsv0tTF4/GQnZ1NhfsXL16MnJxsvPbaa9i+fTump2Vezh2eUCgU0Ol0R3RgGTAY+lBUlDWni/zRwpMcPbuD57orNlLodDpKjp6CI4cPH8att96KDz74YFb61JHg2muvRW9vL7766quINGDfeOMN/OlPf/K6Ta1W48CBA1i9ejXYbDb+85//YPfu3Xjqqafm9FyPFxYcQR4NxsfHMTXllg0jIwpsNhtGoxF9fX1ITk4Omr5xS1nZaeTAZrNRUVEBrVaL7u5ur92kJ4ghqa8fXVxcHOLi4pCfnw+z2Qy5XI6WlhY0NzcjNzc35AA1AaktNjU10UWdKPVUV1fTeTFCbiKRCNnZ2X5jHcHeq9TUVCp0HgpOpxMHDx4Em83G8uXLqSOJ3W7H1NQUXC4XzjrrLDCZTOpg4nA4IBAIqKelyWSivpdRUVFeOq1WqxXd3d3g8/kYHx/H+Ph4yPMhDU4CgYBGvuRnenoaRqOR+l2yWCyaZkxPT4fFYoFcLg9KvsTcmtSWgy3aTCYDiYlsJCaykZPjgkwmRmmpAFVVS2EyOaBWq4+IoGvB5XL9olaxWAybzRaRITbgPdYR6eA36XQlz+10OjE4OAg+n48rr7wKxcXF2LLlfrz77jswm8244YYboFAokJ2dHbG0o1QqRXx8PJ3FKywswp///Gfs2bMb11yzEffdtwU5OTl0k+HZxCQUpsBg6ENJSW5EM3rzjWDkGAjH0hUbKcjIli85trW14YYbbsA777wz57XasbExvPTSS4iKivJqMnvppZewcuVKVFZWoqenh15T3333HcRiMTZs2OD1ODabDXfddRfNMpSXl+O9996LaMxrIWLB1SAB90IYSUhOGmdsNhuqq6u9UjtdXV1Qq9XQ6XRYuXKln/GwpxMHg8GARCJBR0cHampqEBUVBZFIhJqamoCLktlsxq5du5CcnOwlnRYMra2tkEgkKC8vh16v9+oM9ZV/I4LhOTk5qK6uBvC9Uk9dXZ1fFNzW1gapVIqTTz45pIk04H5fd+7cifj4eCxbtizseU9PT6O5uRnl5eU0jeIeAxiFWq1GbW2t13tOVIqImzzgrl+6h9Dl0Ol01GE9KSkJra2tmJycxPLly73I0zP69YyA29vboVKpUF9fT8naZrNhdHQUNpuNLlrkcx0eHqaSdeG6ixkMBpU5rK2tBZ/P9yLRQNGvTCbD4OAgampqkJmZCZuNCb0e6OwcARADPp8PvV4Pg8GAuLg4xMTEQCQagUAgjHjB6OzshMEQWKc0EBQKBfr6+lBYWEibrAYHB5GYmOi18LW1teGee+7Bli1bwGQyaa07kucgXo8ZGRle6TWRSIRNmzZhelqK9PR0XHfd9cjKykJSUhKMRiPEYjGqqsrA5U6jtDSf1uxPJGZDjqHgmYo9Fq1YvV6Pzs5O1NbWet2vq6sLV155JbZv3x7RRvgHiJ9qkHMJm82G9vZ2JCcno6Kiwi99ptVqqYhvOHJ0z8r10jqaXC6nO+NA6OnpgcvliqhbVC6XY2pqCmVlZdSvj3SGknReUlIShEIhEhIS0N3dDQ6Hg7KyMrhcLirCHch/UKVSYXJyEkVFRWHJEQD6+voi7nIlIxskGia3kdEEX/3HYDOSLBbLa/5OrVZDJpPh0KFDGBkZQUNDQ8AhfV9MT09Tj0qyKDudTnR1dWHJkiUoKiryugZkMhkcDgcKCwuRn5/vR7a+6WetVkuNsIkFEfm7xWLxI2/iU8rlcqneqtPphEgkAp/PR3KyEBoNAwYDEyYTqJXRzMwMiooKIZFIkJCQgOjo6KB6q2QspKCgABqNxu/vvs4jpNM1JiYG6enpsNvtGBgYgFAo9OtyrK+vx//93/9Bp9Ohv78fxcXFcDgcERGkSOQdoRIUFBTgpZdewqZNmzA0NIi//OUJPPDAnxEdHY2DBw+Cx4uG0zmGvLyCiNPL8wmTyYT29vZjJkdgblKxpPO6pqbGixx7e3tx5ZVXYtu2bT9Wclyw+EESpMFgQHt7Ox1+9oXT6cTIyAji4uL8TGR9yZFoTlqtVsTHx8NisQScASOQyWSQSqUoLS0Nm/LybEDx7M5ksVhUgJh4PE5PT2P37t2QSqVYsWIFXC4XlWmrqanx2wAQcoiOjo7IKJf4ChYUFESU5iWKOUuWLKEpVCJjl5+f73c+vb29YaXwiJJPUlISZDIZNQRubm4Gl8ulM2q+Sj5OpxO9vb1eZE3ss4RCoV/6nBA5j8eL2BvywIEDKCgowJo1ayISNSCbpCVLloDH48FsNqO9vR1r1qyhOqOEfG02O8bHlbBYZKiqKgefnwi1Wo3JyUk4HHbExsYhNjYWbDabXptEcMHdKJNAba5CvbczMzOQy2UoKChES0sLJBIJ0tKEYDKZUKlUAUnVPbfKRltbK1588SVs2bIFJSUlXsd6vn8qlQpqtZp2T/siNTUVzz33HO666y4cOnQQmzZtwrXXXousLCGKi6OQm5sOlUoFsVhMbZzmU2A8GAg5VlRUzMsoR7hUrEAgoI4cgLvBkGSwPDe7AwMD+P3vf48333wz4rT8T5g7LEiCDNX1pFAo0N/fT9NggUAaMzwbLYDvm3E8bapUKhVEIhFsNhsyMjJCdjqSjta4uLiwnVvkPIK5bxAwmUykpKSAz+djYmKCan7u3bsXsbGxEAgEsNvtftEs0cqMxNmeSNtFRUWhpKQk7Hl7Du2npqbCYrGgvb0dOTk5AWtz09PTkMlkKC8vj6iGRc590aJF9PGMRiPVbiVKPkKhELGxsRCJRF7vIzmfvLy8gBskz/cmkoVXKpVCqVTS2a1wMBgMGB8fR15eHtLT02E2mzE8PIza2tqAkZHL5cL0tBQrVhRi1apVMBoBrdYBtdoBg8EKtVqNmZkZmM1mOm9J5N7Ky8uPmAV/n3L2FDwntxOVKKEwDUlJSRCJRBAIBIiOjoZerw/oOkJS3zk5OXjrre1QKOS49dZbcemll3ptukj3M5PJhEg0AoABHi8OMzMzQaPfW265BS+//DK++eZrPPXUY7jwwpW4+OKHaD2fbAxlMllQ0pgvzDc5+iKYQMH4+DjtFJbJZH7kKBKJcNlll+G1114L6237E+YHC5Igg2FsbAxSqdSrGccXBoMBQ0NDSE9P90qbkGYc4HubKqfTiUOHDkEsFuO8884L2zBA0p0kqgoFIimWkZERUTqJpD8bGxup2XNUVBRkMhlaW1up7Q35kg0MDEAgEESkEeop6B1JCs1zaJ+kfYLJbQVKxYaCW6R7wM+hPjY2Fnl5eVTJRy6Xo7+/H3q9HkNDQygqKkJqamrY87FYLBgcHERqampE781s9V+B76Pl8vJyuvMPpbgyPj4OvV5PN2x8PsDns5CVBZhMUVCrY6HVpkGns0Gr1WJ6ehotLS202SMqKirs5zY0NIS0NLcWqkQiwc9+9rOgG0in0wmz2XxERiwPxcUlWLx4MbZufRx79+7FP/7xD9xwww1Yvny5FzHLZDIADOTn54HNZnvYftmp8wiJfgHgF784HXq9CocOvY2lSxu93h+yMUxJSaG6wDKZDOPj45RQUlNT59yR4niToy98U7FqtRodHR2IiYlBd3c3urq6kJGRgfLyclxyySX4+9//TlWyfsLxxw+CIEmKzel0hozGAHdDjNlsRnFxMUwmE/3CBrKpamlpQXd3N9avXx+WHIkYOYmqwmE2fomeKSeRSOTVqcrn81FUVASTyQSZTIbOzk709/fD4XBQIYNQIIo5KSkpYbtWAXcKmQy1m81mqmMbKlqPdNMAfL8RCJUuIrJlWVlZOHz4MKKjoxEbG4tvv/0WdrsdxcXFQWtG5L2JNB0lEono+UcyBiKXy2m0bLVa0dXVFfL9sdlsGBgYCNoZGxPDREwMExkZHNhsUVCro3HwoAJ5ebkoLS2DwWDA5OQkOBwOkpKSkJSU5BflGgwGTE9PIzExEWKxGIWFhSFr0kwmExKJBCwWC2Vl5YiJiQGPx8NDDz2MZ555Btu3v4WnnnoSdrsNF1xwIQBQy7SqqqqwQv+EVJXKKZx+ejmuv/4Vv25HTzAYDNrp7Fm/6+/vh9VqRUpKCgQCQUg/00hwosnRF2azGX19fairq0NCQgJtaPvnP/+Jffv2obGxESMjIygtLT3mGulPODosSIL0/BJYrVa0t7cjNTU1YO3LExKJBL29vWCz2Whra6NjAS6Xi3rYkU7EqakpHDp0CNXV1dDpdF7arOQYMrvHZrPR2toKq9WKgoIC2Gw2mk4KhKmpqbDuGwQk/anX65GUlITGxsaA0XFMTAzy8vIQFxcHiUSCpKQkjI+PY3h4GKmpqRAKheDxeH7vTySEROAZDcbGxlJ5q2CvwTcVGw5qtZrWQSNpKlIqlZDJZFi0aBGSk5MxODiIoqIiaDQaHDhwgM4SpqSkUBeK2Ty+2Wym2YZIzp+8P7GxsbShyrfb0BeDg4NhBdUJOBwGuFwjGAwJVq/OR1ZWJjQaBzQaB4xGMxWrdrlcXvOW7hKBFRaLBeXl5WGjLs/REc8xAiaTiZtuuglCoRDPP/8cnn32WRiNJlx++eUQi8Ww2+0RiTm4vxcWiES7UFdXHdAyKRQ863d2u51uILVaLeLj4+lnPhtD9YVGjsQlpLy8nJ4Pi8XC4sWL8cgjj+Ctt95CQkICPvzwQzz99NNYtmwZnnzyyYgeN1Lbqtdeew1XXHGF1zXw0UcfUd1UlUqFK664Al988QVSU1Px8MMP46KLLpqbN+AHggVJkAR6vR4dHR0oLi4O2xJus9nQ09OD/Px8VFZWQiaTYWZmBunp6TSCtNvtsNlsEIlEtLsvPT0dCoXCq77jC2Ixk5ubi3379tHbPVV4CKkCQEdHB6KiopCVlYWenh6v8QBfEp6YmKCWMp4D7oFAmn7i4+Nx0kkngcViUS8/UqdLTk6mHbGehBFJY87IyAiMRiMyMzMxOTkZspMX+D4VG4liDtkIcLnciOqgZC41OjqaksCiRYvA5XKRkZEBl8sFrVYLuVwOkUgELpeLiYmJiOussz1/wJ3iNxgMyM/Pp2o9oTZAer0eY2NjyM7ODivnR0DE3svKSsDhsJGUxD6SgoyCRsODWp0Fo9Fdt5yYmIBcLsfk5CSSk5NQWVkZUQ14dFQENpsdsN7OYDBw0UUXISUlBU8++RcsXbqUquyQTVg4uFwmjI/vRVpaKhoaGo6pAYeUFoRCIZV4lMvlGBkZQVRUVNDGLk8QcqysrIz4c5hPEHIsKyvzigxlMhk2bNiAxx57DKeccgoAoLGxEffeey8sFktEjz0b2yoAWL58Ofbu3Rvwsa6//npwuVxMT0+jra0Na9euRV1dXURd8D8WLFiCJKa+NTU1ES3uZB6SaIvGx8ejq6sLer2e1u5YLBY6Ozupu0NFRYVfs41v+7/JZMLevXvR0NCAxsZGr+5Ez3/J7cPDw9Dr9cjOzoZCofBSpfGF2WzGzp07af1rx44dAL7XY/UkVRL1jo+Po7a2FgMDA17HkHqOTqdDT08PbSQhNlmkMSkYjEYjhoaGYLFYwGazUVtbG3Jhk8vlmJ6ePuJQH151w9M5JJI66Pj4OLRaLYRCIRQKhV8zkltoPAEJCQkoLi7G4OAgVCoVhEIh2tra6MIZLJpSqVSYmppCcXFxRHUuq9WKwcFBAO6UZrjNAwC6OYp05pGoPlVXV3s9tjsFyQKfz0J2NmA0RkGjicXMjACff+4WbMjNzcPAwADi4uKQlJSEhISEgBFWpI4gv/jFL7BixQrw+Xw62hOJcovLZYRe3wcul43ExPCm5LMBg8Gg0nclJSUwGAxQKBTo7OyE0+lEamoqBAKBVyaF1IgXCjlarVbqL+lZk1UoFNiwYQP+/Oc/47TTTvO7XyTm4cDR21b5gthYdXV1gcfj4eSTT8ZZZ52Ff/7zn3jkkUcifpwfOhYkQU5OTmJsbAyLFy+OqKtwZmYG4+PjKCgoQHx8PBwOB6Kjo9HU1ASLxQKZTIaOjg7o9XokJydjenoa8fHxAS8YEhWSBWp0dBTR0dFYsWJF2NSMTqeDQqFAZWWlX9eZ7xyeyWTCu+++i9LSUpxxxhngcrkhiZcQGI/Hg81mo/JjwSCVSjE0NITk5GS88MIL1Bg4OTkZXC7Xj4B7e3vR399P3/OxsTEviTjPYxkMBtrb2xETExNRN6/NZgvqHBIIVqsV/f39MBgMiI2NDTuqYbfb6QzjihUrvJp8SA1LKBSCz+fTDmnS1Rupw0B/fz+mpqZQVFQUUefw9PQ0FAoFKioqIrqGSZ2dz+eHFe12m0EzMTnZAYdjEBdeeDbi4oTQ6RzQ6fRHnEMk4HK5tG7J4XD85iTDgc/nU9cRiUSCl19+GY8//niIdLQBZvMwkpISoNdrZ+VHeDQgqlWksYtkegwGAzWDHhsbQ1VV1YIgR5vNhra2NhQXF3s1mM3MzGDDhg24++67Z52ODodwtlWtra1ITU1FcnIyLr30Utx+++1gs9l0A+45d1lXV4ddu3bN6fktdCxIgiQ7wUhSM2RekCx2drudtqUD7noGn8+HRCJBXV0dOjs7MTQ0hMrKSoyOjoZMG6nVatrOH44ciTYrm80OmLIjaVUulwuj0YjW1lbEx8dj0aJFEc0xtrS0oKqqCqtXr6YRm2e7vyepGo1GaLVarFixArW1tbDZbDQ1RfROExISwOfz4XK5IBaLsX//fhQVFYHL5WJoaCjkuUxNTUEikaCkpASff/65H4H61nBJ9/GSJUsgEon80sy+//b09GB4eBjLly9HZWVl2MYMEvkuWrQIDAaDmv2SGpZSqaSjH0lJSbBardBoNBERHQBa80xNTcWKFSvCXpeE7EhnbiQYGRmB2WxGbW1tRI0oo6Oj2L9/P1asaEJdnTtV6nC4oNFEQaNJhFbrgMFgwszMDAYGBgC4Nx6kmznS7xb5vD7++GOMjAxj48aN1CjZ+1g9zOYRVFSU4cCBA0hPTz+uJsMk9U5EHqRSKQYGBqgBAemKPd5uHAQ2mw2tra0oKCjwEtLQaDTYsGED/vjHP+Kss86a8+cMZVu1atUqdHV1IS8vD93d3Tj//PPBZrNx++23Q6/X+615CQkJ0Ol0c3qOCx0LkiCjoqLoSEY4jIyMQKvV0lqHb6cqEc9uaGiA1WqFyWTCmjVrUF5eTtVNTCYTbXTxjDK6uroQFRUVkXqFRCLBzMxMWNPkmZkZ9PT0wOl0IiMjI6IIxlOcwDOdyWAwKBF5pmAmJiaQmJgYVH7OYDBAJpNBLpdTgly9ejXOOeccMJlMSryBIlqj0YiZmRk0NDSgsrLS7xjyY7VaYTQaodPp0NnZidTUVExOTmJycjLka9XpdNi5cyfy8vIgk8nwzTffhKzhWq1WtLS0ICMjA3q9HiaTya/RKiEhAcnJyWAymZDL5fjkk0/o8DabzQ7Z8OFyufDpp5+CyWTizDPPjIhYxsbGYDQasXjx4oiOJ81CaWlpETULTUxM4PDhw8jLy/PqKGWxGEhOZiM5mX1k3i4KGg0fGk0WNBoDdu/eDafTCYlEQjcLgRq7CBQKBfR6PUpKSvDMM8/gT3/6E7q7u3Dttdfiscceo8/tculgtY6isbGekvGJ1N40m80YGxvDokWLwOPxoNfrqRsHi8WiG/C5HiEJBhI55ufne4186XQ6nH/++bjxxhtx7rnnzulzOp1OXHrppeByuXj22WcDHuOZ/ampqcE999yDxx9/HLfffjt4PB60Wq3X8VqtNqJy148JC5IgI23lNplMdB5QKBR6kSORaTMajVi0aBGYTCZaWlpohMfhcOiOk7RXkygjOTkZFouFRhnhdp2kWzYpKSlknWZqaoqSl0ajQWVlZdgIxrOzNJJ0pkqlgkQiCdnqT3wkk5OT8fnnnyM6OhpJSUlobm6mG4W4uLiANarW1lakpKRg1apVES0w+/fvx5IlS7BmzRqwWKygxEvSztu3b0dFRQVOOeUUMJlMrzSz3W6H2Wz2ul9/fz90Oh1SUlLQ0dER9nzEYjHkcjlqa2sxMTGBnp4e6nWYkpKC1NRUL+/NQ4cOQSKRYM2aNVTuLVCUTK47Uqsk12Qk6O/vBxBZs5BIJIJUKkVMTExI8Xv3vB0L8fEs5OQAzc3DyM2NQ1nZIgBR1M+U+IomJycjPj6eXo8OhwOjo6Pg8eLod+vpp5/Gfffdi7179+Kmm27Cfffdh5Ur62G1jqGxsQFmsxlisRj5+fnzbgUVDAaDAR0dHV6jN2SEpLCw0GuExGKx0BGShISEOTFr94XdbkdbWxtyc3O9rgeDwYALLrgAV155JS644II5fc7Z2lYReAq0lJaWwm63Y3BwkDa9tbe3/1c16AALlCAjRVdXF5xOJ9ViJRe4w+FAV1cX4uLiaMpqfHwcarUadXV1fheMr16oRCKhBsFqtZrWcoJFA/39/bDb7aiqqgr4JSOpKo1Gg/Lycuzbtw/p6ekRLaCRqPF4Pg+prYVL28rlctolunjxYjQ2NtLaHdGP9I2qFQoFpqamUFJSEhE5Tk5OQqVSeTWdeNZ3PWE0GmkjwYoVKyIyzyUWYqWlpcjNzQ1Zw3U4HNBoNBCLxaisrEROTg6cTif1/NTr9VAqlRgaGoLT6URcXBzVjSV1a/egfGCQNPPExASUSiUaGxupE0qoFLRer0dvby8KCwvhdDphNBr9LL4AUOk5s9lMHy/SKM09hD+B2tps1NSkwmJxHvG3TIVe74BWq6NShFwuF8nJydDr9bBYLCgpKaHXdHR0NP785wfxl7/8BR988D4OHPgSy5Ylo7HR7XTf1tYGNpsdcRfxXCMQOfrCVwJOqVTS8bCjHSEJBofDgba2NuTk5HjNWZtMJlx44YW45JJLcNlllx3z8/giUtuqTz/9FI2NjUhLS0NfXx8eeOABOq8aFxeHc845B/fccw/+/ve/o62tDe+//75XF/9/A36wBDk1NUVFwGNjY+mXOJCHo8ViobZX4ZpEmEwmFAoFcnJycNJJJ8Fms0Emk2FgYADx8fEQCoVITk6mX6CZmRlMTEwgPz8/YCMAqUexWCzU1dWhtbUVACJqYPCcM4xEjWdsbCygBZcvxGIxpFIpoqOjYTKZ6Ll4Duj71u4SExMxMjIScWNOOGNjT2g0GnR2dgIAXbzCwVOftbCwEEwmM2wzzMGDB5Gfnx9Wb1Wv11MHFrvdjuXLl6OwsBBRUVEBXUY8CZiMgfB4PBrx+oqke6Kvrw8WiwVxcXFQKBRefyO1dDabTQf7k5KSMDg4iMLCQjrzGywFTX5vb2+H3W6nJBwVxYRQyIRQyIHd7oJWGwWNJgkajR0Gg1uQwi0uzoPRaER0dDQdH2Gz2fjDH/6A+voCrFpVisbGBnA4HMhkMtqUdCLqfJGQoy88NZGPdoQkGAg5ZmVleTVEmc1mXHzxxTj33HNx+eWXz/pxw2E2tlU7duzA7373O+j1eqSlpeGSSy7BHXfcQe/z/PPP4/LLL4dQKERKSgpeeOGFnyLIhYBwqQ6LxYLOzk6aNiHHazQa9PT0oKKiwmu+iKjwEPuoUCDuGyUlJfSLRsyJSVpqaGjoiK+dEH19fUHrlDabDR0dHRAIBMjJyfFSqYlkNGI2ajwWiwX9/f1+Em6eIFGIwWBATk4Ompubg45psNlsr6i6ra0NExMTyMnJQV9fH/3SBItqSeNMY2NjyM+T+FySmkewKNwXvvqs4SCVSmmHcShyNJvN6O7uRn5+PgwGA4qKipCTkwO5XE7T78EEtvfv34+ysjKsWbMmKEl41nclEgkMBgPKy8uRlpYWkHiJIwexq2pubgaLxQKPx4NSqaRRcrCOZo1Gg8HBQWRnZ9MORE/tVG9iZcPpZEImm0BUFOtIHXgaIyPDcDicSEhIOCL/ZsXSpXmorKyks8NEQGGufQojwdGQoy98R0g8tYGDjZAEA7FmIyUcAqvVit/+9rf45S9/iWuuuWZeUrp5eXkhrQL1ej39/9atW7F169agxyYnJ+O9996by9P7wWFBEmQwkIH/gYEBKkZOFqnp6WmMjo6ivr7ea8FXKBQRW0IFc98AvL9ARDuyubkZLS0tqKmpgUwmg0Ag8FLn7+zsREFBAYRCIRwOB3p6esDj8SJSI5FKpbMSACeKQcEUW0gtk8PhoLq6Gnv27EFsbGxE0SBJvS5atAiLFy+mqUfPjUJqaiqNWg0GA0ZHR6kXYDBMTU1BLBajtLQUBw4cQHZ2dkSSWp5NLZFE1iTa5PF4IcXoPXVVR0dHAQDV1dV0LMLTeaW/vx98Pp9uFGQyGVQqFaqqqkJGUKSxisFgYGxsDOnp6aiurg64WDqdTnR2dqK+vh4FBQUYGxtDXl4eGhsb/cY0fOd3Cbl+++23qKysRFNTU8BjPFPQFosZOp0WMzO9yMlJBY+nhF7PAJfLhMXChFQ6hfHxNkRFaZGYmIipqSnw+XwolUqwWCycdtppx92Vg5Cjr9D3scJTG9hTjIOMkBBPU9/X63Q60dHRAaFQ6DUDarPZcPnll2PVqlW48cYb54Ucf8Lc4wdDkIQcTSYTDh06BB6Ph6mpKdrhaTQaUVVVBY1GA71eT2s/LS0t4HK5c+a+AbgXOQ6HA4vFgpNPPhlVVVVeouI8Hg9yuRw1NTU07UqEzpcuXRp2EfEk00iGe8P5QtpsNnR2diIlJQV5eXm0eSnSLsu+vj5KvgwGg87WeYpMj42NgcvlQigUYnR0lIp5B8PY2BiUSiUaGhrQ0tICJpMZcU2NnE+kc3YjIyMwmUwhP1fi4l5dXQ2bzUZFBHyl2DwFtrVaLd0o9PT0ICUlJaL5QnJOZrMZdXV1ARdLYi+WkpKC3Nxc2Gw29Pf3B30O3/ldwC22wOFwsGTJkqBZBV8cPHgQjY2NOOWUU+jspLt72YaBgTGYTKkoKyuj2RS5XA6JRBJUPH4+MV/k6AvPhj6ySSK1+ri4ODpCwmKx0NHRgdTUVK8ygd1ux1VXXYVFixZh06ZNP5HjDwg/CIL0tKmKjo5GeXk5nVEcGxsDk8lEZmYmuru7ve5ns9kwMjKC9PR0fPnll14KNeSH/O5wONDS0gKhUEhrScEaK8isHjFNJl2hBQUFmJiYgEgkQlRUFJWzI5ZNmZmZXjNQwTA0NASz2RwRmZLGnGC+kKQmS6yhTCYTjb4iaRLyJF/fzkRfkWmj0Yju7m4cPnwYBQUFR+yXhF4k43K5MDg4CKvVivr6eq/aVSS1Hs/ziaRRKJJoc2ZmBv39/airq0NMTAy+/fbbsCICnko+DAYDUqkUeXl56OjoAIPBoF2sgdLXxB4rPT094PVAvC4zMjJoFEI0XSPdFBBCDSaSHghE3KCystKrqYrL5WJqagpcrhWLF68Ek8lEeno6ysrK6GaluLgYbW1tYDKZYVWM5gJ6vZ6aC88nOfoikAsJGSExGo1ITEz0+kwdDgeuu+46lJeX44477viJHH9gWJAE6XkRBfJwXLp0KRUxr66uRmZmJk0peaaXiH2U7+2eM3ueowOkpkZmuYLB6XRicHAQCQkJ+PbbbymBKhQKGI1GlJaWIioqCi6XCyMjIzh8+DCMRiNWrVqF4eFh8Pl8L7L1bKwwGAyzItPR0VHamOPbeUeiIs+aLNEfjUQ8Oxz5+iIqKoraOjU1NUGhUKC3txd2ux2pqalITU2lSi5VVVVeqc9Ialek1hVJly6Bp3VXIJCmDKKr6mkNFkknIyFgkvoE3PVguVyO3t5e2Gw2PzF5It0WKMImUmSeXpcGg2HWmq7Dw8Ow2WwREyoxmY6NjfVLQ4tEImi1Wj/5QZPJhNHRURQVFaGuro6+HwqFgko/zpUThydOFDn6gmwQ4+LiaH06OjoafX19uOmmm1BXVwetVovCwkLcd999P5HjDxALkiAB98VH0jueyjiA+wvS1dWFkpISSiIsFuuous0CwXPuLhiplpeXH/HCc3viDQ8Pw+FwoKCgABaLBQaDgdZ48vLyYDQaqTC53W6nxrjR0dH0i8NgMKBUKjE5OQk2m03JN1gkS/wsk5KSEBXlnm0jf9NqtdTEl0R+crk8oOBAMHh2xUZCFiSVuWTJEsTExCAnJwc5OTmw2WyYnp5Ga2srGAwGYmJiqO/hbKyyiKNDpORF9FaDRZuTk5OQSCR01tVTEi9SDVFCdp5E5Kvk41m/YrPZGBkZQW1trd85ERFr4n1J0NvbO6sUtNFopDXgSJ0rJiYmqMYs+SzIBs9oNKKmpsbvMyKv3fO8fJ04lEolJiYmoNPpkJiYCIFAQEUbjgYLhRwJyCaSz+fT3oLs7Gx8+OGHuPnmmzE4OIiBgQEolUqcddZZOO200yKaEZ2NK8frr7+OZ555BoODg4iPj8dFF12Ehx56iPYErFmzBvv376e/Z2Vl0dnbnxAaC5IgnU4nbDabV9RIoFAoMDQ0hJqamnkbRiZppUg0NEl9b/HixcjLywvabOFJsmazmXa06vV6xMfHIyEhgQ5/k7lOcrzRaPS6P+lYdDgc0Ol04HK52L9/P30+lUoFhUKBwsJC7N27l5ImqXsJBAJaLw0WyZI2dWKrZLfbQ46OhLK+crlcmJycRFlZGQQCAe1c3bt3L3Jzc+lmKNSiOVvyChdtjo+P+4mgDw0NwWazRewlOTMzg8nJSRQWFgZNJ7LZbKSnp9Mmn88//xwGgwFKpRLd3d107o5kRHxrecR/sqysLOINYCDiCgXiWelZ3yRCG1arNWATkVqtppuPYJst305otVpNTQg8a3eRjoUQcgxnMXa84Nm969l453Q68fDDD0MgEGDbtm1wuVw4ePAgPvjgAxiNRlx44YVhH3s2rhxGoxFPPfUUli5dCrlcjrPOOgtbt27F5s2b6THPPvssrrzyyjl77f8tWJAE2dfXhwsuuACnnHIK1q1bh6amJjAYDDz55JNoaGjAySefHBF5zTdMJhM6OjqQn58f0nDZl3CJj2FVVRUdVib2XElJSSgoKEBSUlLQlIxnN6JvhCsSiQAATU1NAODVtVhZWQmj0eg1m0eiXF9YrVaMj4/D4XDg66+/prcHq8mOjIxQN42BgQF6O6mFlZaW0rnL+Ph4uFwulJaWoq6ujjY8eHaF+kaIAwMDVIwhEgSLNsmoi9Fo9NIk1ev1GB0dRXZ2dkRRl8vlQm9vL7hcbsTpXqlUCpfLhdNPPx1ZWVl07o7UnPPy8ryiIvIcMTExEXU+A+7NkVQqRUlJSUTdz8D3GwOS8nW5XBgYGIDT6QyqhUtee6Ri70wmE8nJyXRkylf+jdQtg5HtQiTH3t5eREVFeTUAOp1O3HvvvTCbzXjppZfo9bV8+XIsX7484sefjSvHtddeS/+flZWFiy++GN98883RvbCf4IUFSZCVlZU4cOAAPv/8c/zjH//ADTfcAB6Ph4SEBGzcuHFBkCOZuaysrDwmA1bPYWXSISeVStHf34+EhAQqTOAZXQXqWHQ6nfQ+kTT3eMLlcgWs0/rKvPmSsaf8GzEtJl3FgHtnOz4+jtzcXAwMDNDartPpxPDwMOLi4rxUZrRaLXp7e6HX6xEbG0sjDKfTidbWVmRnZ0On01G1mUDNVgwGI2i06XK5aHRVU1PjtfDPNo05OTkJtVqN2traiOy7HA4HFU7IysqiY0Okdl1TUwO9Xo/29nba6GI2m2lNN1JxcRI1R9K1DXxf3yTpWPIeMZlMlJeXByRHT1uuSF67Lzybu4j8m2/NViAQUAWnhUiOfX19YLPZKCoq8pK3fPDBB6FQKPDqq6/O6chLOFcOT+zevdvvuNtvvx2bN29GWVkZHnzwQWqK/BNCgxFqqBRAyD8eDxArmNzcXFpzW7FiBdavX4+TTz75hKh2EA3L2traiGp5RwOXy0XnDVUqVcjoiowEJCYmIj8//4Q3A7hcLshkMvT396O8vNzLysuTWEkN1/dvNpuNSr/NzMxQAic+nqHAZDKh1+shEolQU1ODhIQEOvLj1hZ1NwRxOBxKrjMzM+js7ERFRQWKioq8SDfQIme327Fr1y5qgxbJ+z04OIjBwUEsW7aMplDVajV6e3v9Fn5iUPz555+Dy+VizZo1Xk0+wSCRSNDe3o66urqIbMUAt0uMTCbDmjVrEBUVhZ6eHhoVBysXEBnGlStXzvm1Rmq2RJghLi4OGo0G9fX1C0Iom0TXgFuv1JMcH3vsMQwNDeH1118/qo1DMNhsNvzyl79EUVERXnrppZDH/uMf/8Ddd9+NtrY2Wuo4cOAAFcjYtm0b/ud//ofWuhcQFmQH04ImSLFYjPXr1+Puu+/GunXrALgvlp07d2L79u3Yu3cvmpqasG7dOvoFn0+4XC5au6qtrT1u5Ow5c6dUKhETE0NNoAk5ZmVlzak57bGAiLLX19fPSbRvNBoxNTUFqVQKh8Ph5XHoS7rkh7h62O126i9JRLl9DaxNJhMd0/AlxECjQXK5HGNjY6ivr0dycnLIRiqSZt63bx8yMjKwaNEiAO5U6MDAAO2e9UVvby9EIhGWLFkCm80GuVwOg8GA5ORkCIVCJCYmepGTw+HAzp07Z0XaKpUK+/fvR0lJCYqKitDT00OlBIPdXyQSobe3F01NTRGJNBwLNBoN3fgRsiSbxBOxMSYjSk6nE2VlZV7k+PTTT6O1tRX//ve/5/TcnE4nLrroImi1Wrz//vshH/u9997Dxo0b8dVXX3m5vPjijDPOwNq1a3HDDTfM2XnOAX4iyNnCYrFgeHg4aNOE3W7H3r178dZbb2HXrl2oq6vDunXrcOqpp855ZEcUfBwOR1gD3/mEy+WCwWCg4tkmkwlZWVkoKChYEKlnIgAQaepxtrBarXRA3Wq1+o1Q+IJYDWVnZ3vNAwYa+wmWZg4U/c7MzCAmJobeHup7RJSFiPAAqb+RbmJfgrVarWhtbUVmZiaqq6u90sc6nVtYnNhVpaWlISUlBcPDwxgaGvKKUEPB5XJh3759MJvNWLVqFTVrDlXrtFqt2LlzJxITE7FkyZKwz3EsICNKJLr2FKVQKpVgs9m0bhlprfVYQJqWyOiMJzm+8MIL2Lt3L/7v//5vTr+DLpcLl19+OUZHR/HJJ5+EXNM+++wzXHrppfj444/Dfja//OUv8ctf/hI33njjnJ3rHOAngpxPOBwOfPfdd9i+fTt27NiBiooKrFu3Dqeffvox1y3sdjs6OzsXTAoT+D49V1xcDIPBALlcDiaTSSPL47FoeILsri0WC6qqqo7LBoKk42QyWcDoymw2o729HYWFhfMe7QSLZH1vl0qlkEgktHYV7D5yuRzx8fFBF1yyUdLpdNDr9ZBKpRAIBFi8eDGio6P9PDF9I1tS86upqYFGo0FqaioKCwtDjs/09PRgbGwMJ5988rymOwk51tXVBe0ONplM1ADc4XAgJSUlojT00YI4qXg2LblcLrzyyiv4/PPP8c4778x5Buuaa65BW1sbvvrqq5AjLV9//TU2bNiAd999F6tWrfL6m1qtxoEDB7B69Wqw2Wz85z//wdVXX42WlpYT6tkZACd+UQ2AHw1BesLpdOLw4cN466238MUXX6CoqAhnnXUWfvnLX876i02UaHJzcyOWEZtvkBpoXV2dFxGS8RG5XA6n00nVXObbGJbovHK5XC97pOMJYoAsk8mg1WoRFxcHrVaLioqKiAQXjgfEYjGmp6dRV1cXNroO1BwVKMolc7g6nQ5SqRQajQYul4s2wTCZzIAuIjqdjl4nCQkJdAPhK2ROflwuF8bGxlBRUYHa2tp5e490Oh26u7sDzokGA9FKJWnoUFqpRwMyC+orpP/666/jvffew3vvvTfnGauxsTHk5+cjKirK61oJ5MpxyimnYM+ePV5rwcqVK/Hpp59CLpfjzDPPRF9fH1gsFsrLy/HAAw/g5z//+Zye7xzgJ4I8EXA6nWhvb8f27dvx6aefIjMzE+vWrcPatWvDCmMHUqI50RgfH6eGv6HqESQVKZPJqJIN2WHPJex2Ozo6OpCcnByRbuzxALHPSkhIgF6vB4/Ho7Wr+Uj7RoKxsTGoVCrU1tbOiddgKJCuUJlMBofDgdTUVKSkpNCUsN1uh8ViQXt7O3UnCRbJev6blpaGvLy8eav1a7VadHd3h4wcw4F0gstkMqjVavB4PNoNfTSf/ejoKLRarV/X87/+9S9s27YNH3744bxvQP9L8BNBnmgQ1Yvt27fj448/RnJyMtavX4+1a9f6DbfLZLKgiicnAqR7jgyyz2ZnTHbYpGbpa4R8tCDD7b71vRMJoqtKPjeXywWdTkc1X6Oiomga+njUbIkajcFgQHV19XGvXXtGV0ajkc4iikSiBfW5abVa9PT0zOn3zfOzVyqV4HA4s6pbjo2NQa1W+6kIvfXWW3j11Vfx8ccfLwg1nx8JfiLIhQRCONu3b6e7wHXr1uGss87Cq6++ColEgr/85S8LovHF4XB42XAdC6k5HA5KlkQ/Mi0tjYpuRwqTyYT29nYvub8TDaKr6pt69oTBYKBpaDKgLhQK56VmS64x0th1omvXpLbZ399PB/d9DcBPBOaDHAPBt24ZyuNxYmKCNpt5kuN7772HF154AR999NExzT//BD/8RJALFWSX/9Zbb+G5555DUlISdf3OyMg4oQubzWZDe3s70tPTvSx05gJOpxMqlQrT09PQat0ef0KhMGzthqTCqqqqIhbPnm8QXdX6+vqI2+x9U5GELOdiGJ0orbBYLK95uRMJIoSen58PgUBALatUKhUdHZqN9NtcQKPRoLe3lzqpHC/41i09jbAnJychl8tRV1fn9T34+OOP8eSTT+Ljjz8O6XP6E44KJ/4LEgA/EeQRGAwGXHzxxairq8MVV1yBt99+G++++y4cDgd+9atfYf369VQ39HiBRGlFRUXz3oVJtDKJ5F18fHzA6ILM7y2U1DMwN/U9q9VKI2uz2Uyji6NxoXA6nejq6kJcXFzImcLjCTI64iuEDnzfEUvS0PMdWROcKHL0BdkokuiSyCAKBAJat/ziiy/w8MMP45NPPlkwGZMfGU78lyQAfiLII7j66quxcuVKXHrppfQ2l8uFqakpvPPOO3j33Xeh1+vxq1/9CuvWrTvmVGc4kCjtWKXsjgYul4tGF0qlkg5oOxwOSCQS1NXVzbsoQ6TnOTw8DJPJNKejJb5p6KSkJDo+EonZtedI0EIAcQkpLi6OaHEP1ORDIuu5uuYXCjl6YnJyknqNKpVKvPzyyzh8+DAaGxuxd+9efPnllxF5qP7QQUwijjN+IsiFDIfDETb6kMlkeO+99/D2229DpVLhzDPPxFlnnRVUs/JoQRxLFkKURga0BwcHoVar6XC6QCA4IWomnuflqZ86X19o0hU5PT0NjUYTNLIGvjc6TktLm/N0+NHCbDajra0NZWVlR5UW9G3wInXL2dasPbEQyZHMp/qK22/btg3PPPMMeDweXC4X1q5di3Xr1gUVcffFbGyrAODJJ5/Eo48+CpPJhHPPPRcvvPAC3YyqVCpcccUV+OKLL5CamoqHH34YF1100dy8AQBVmGKxWOjs7KT2dKtXr/bzCJ0H/ESQPyaoVCq8//77ePvttzE5OYlf/OIXWL9+/TFHMmKxGFNTU6irq1sQDUJEQcRsNqOqqgomk4k2ubDZbNoRejwjyhOVwgwUWZMRAgABFXtOJEiKvry8fE7GlHxnTcn85GyafBYiOU5PT1NpRM9RkO+++w6bNm3CRx99hKysLCiVSnz88cfYu3cvXnrppYiuO4PBgMcffxy/+93vqG3VhRdeGNC26vPPP8dll12Gr7/+GpmZmTj77LOxbNkyPPLIIwCACy+8EE6nE6+88gra2tqwdu1a7Nu3L2KHm2D44IMPkJ6eThV4PvvsM1xwwQWIioqCXC5HVVUVbr75ZlxxxRXH9Dxh8BNB/lih0Wjw4Ycf4p133sHIyAhOO+00rF+/3stOKRxIupCMA5zIrkICIgDA4XACNpp4kiUAWreaz4WPzF2mpqYej11tUHhKn8nlcphMJqSnp6OwsHBBpJ8NBgM6OjrmrZGKiOnL5XIolUrExsaGbfJRq9Xo6+tbUOQok8kwNjaGhoYGL3I8fPgwbrzxRnzwwQdzfp3V1tbi3nvvxbnnnut1+0UXXYT8/Hw89NBDAIAdO3bg4osvhlQqpQIIXV1dKC0tBQBceumlyMrKogR6NOjr68PKlSuRm5uLF198EU1NTaipqcG6detw/vnng8Fg4KKLLoJer8eNN96IG2+8cb5GlX4iyP8G6HQ6fPLJJ3j77bfR19eHU045BevXr0dTU1PQCyscEZ0IEBH0pKSkiGppFouFChPMdUcowUKcuyQpzNzcXFitVrpZIBZmJ4IIiD1UdXX1cXHACNTk4yt5SMgxmDj7iYBcLodIJEJDQ4MXqbe1teHaa6/Fu+++G7FtWKSYnp5GXl4e2traqP8mQV1dHe644w6cf/75ANylFoFAAIVCgfHxcaxYsQImk4kev3XrVuzatQsffvjhMZ3TX//6Vzz77LNITk7GLbfcgv/93//F1q1bqduHRCLBhg0bMDk5iRtuuAE33XTTfAhunPhFLwB+Ish5hMlkwueff47t27ejra0Nq1atwvr167F8+XIaIapUKvT09CAnJwd5eXkn+IzdIER0tA4hxH1CJpPBYrGEFRSPBMdTVzVSGI1GdHR0+KUwLRYLff3E33A+dUI9QdSfampqTtgQu++8IY/Hw8zMDBobGxdM5KhQKDAyMuJHjl1dXbjyyiuxfft2GqnNFcLZVhUVFeG5557DGWecQY/ncrkQiUSYmJjAhg0bqNcqALz88sv417/+hZ07dx7V+djtdkp0f//73/HII4+AxWIhLi4OLS0tANzXMkm1nnvuuRCLxbjqqqtw2223zXUJ6CeC/G+GxWLBV199hbfeeot6Wp588sl49NFHcc899+Css8460acI4Pu6VXFxsd84wNHAU1CcKLmkpaXNanzCYDCgs7PzqBtN5gORRmnz0eQSDKTzeaEYCwNuIurt7UVcXBysVuu8vv5IoVQqMTQ0hIaGBq9Fvre3F7///e+xbdu2oA5CR4tIbKvq6upw55134je/+Q09z9TUVBpBnnTSSTAajfT4J554Ajt37px1BOlJjID7Ox8TE4M33ngD999/P0ZGRvDBBx/gV7/6FQD3NczhcDAzM4P169fj4MGD2LFjB1asWHE0b0UwLEiCPC66V4ODg4iOjsYll1wS9Jgnn3wS6enpSEhIwOWXXw6LxUL/plKpcPbZZyMuLg55eXn497//fTxOe04RFRWFtWvX4rXXXkNbWxuampqwadMmxMfH4/PPP8cXX3wBq9V6Qs9Rp9Ohra0NFRUVc0KOAMBms5Geno7a2lo0NTUhMTERExMT2L9/P/r6+qBSqfyEtD2h1WppLW2hkCPReq2trQ2bwuRwOMjIyEBdXR19/RKJBPv370dvby+USmXI1z+bc+rp6UF9ff2CIUe1Wo2hoSE0NTWhsbERTU1NSEpKoq+/p6eHRpnHCyqVKiA5DgwM4Pe//z3+9a9/zTk5ulwuXHHFFZiensbbb78dtEZbVVWF9vZ2+jvpiE5JSUFpaSnsdjsGBwe9/j7bBh2JRIJ//etfaGtrA+COmE8//XT09PTgsssuw0MPPYT8/Hxs3rwZX3zxBQD3NWy1WpGUlIT3338ff/vb3+aaHBcsjksEefrpp8NkMiEvLw9vvvmm399PVPfWicI333yDW2+9Ff/7v/+L4uJi7NmzB2+99RZ2796N+vp66ml5PGs1RACgpqbmuCywvqLSCQkJdHyC1GoXoigB0Xo91kYTX2EGPp9PO2Jn26A1V+c0lyDnFKzmSJp8iJKPZ0fwfI0PkTpoQ0ODVyOVSCTChRdeiNdffx0NDQ1z/ryR2lZ99tln+N3vfoevv/4aGRkZOPfcc7FkyRK6Dl5wwQVgMBj4+9//jra2Npx55pmzXgf7+vpwxhlnoLS0FNdccw1++9vf4qyzzsLzzz9P5623bduG+++/HxwOBw8//DDOPPNMAN+nW+cJCzKCnHeC3LZtG9555x1UVlZiaGgoIEGeiO6tEwWn04lrr70WW7Zs8bPPcjgc2LdvH95++23qabl+/Xqcfvrp80oQ09PTGBsbO2ECAL6LJY/HQ1RUFFQqld9idiKhUCgwPDyM+vr6OT0nl8sFrVZLx0eio6Npk0s4slCpVBgcHAypP3u8EY4cfXE8zJCDNQmNj4/j/PPPx9///nc0NTXNyXN5Yja2VQDwl7/8xWsO8sUXX/Sag7z88svx5ZdfIiUlBY888shRzUHu378fp512GpxOJ372s5/h3//+N+Lj471mwbdv3457770XbDYb999/P9atWzcH70ZI/PcRpFarxeLFi7Fjxw688sorQQnyRHVvLWQ4nU4cOnQI27dvp56W69atwxlnnDGnnYkTExOQyWQReRQeDxBd3MnJSbDZ7IjGB44HyCaivr5+3udT9Xo9bXIJ1BFKQAjbN114IjFbcgwE3yYfQpZHq+QTbPaSdGc+//zzP+qU4b59+/DUU0/h//7v/wC4SymkBrxs2TI88cQTWLZsGQDv+uT777+Pu+66C1KpFDt27JhXH1AsUIKc1xXx7rvvxhVXXIGcnJyQx+n1ei85NfJ/4pbuK7WWkJAAnU439ye8gMBkMrF06VIsXboUjz76KNrb2/HWW2/hqaeeQnZ2NtatW4czzzzzqAfAydyl0WhEQ0PDcbdhCobx8XFotVqsWLECTCaTjg+0tLSAy+UeV6sqAiJB1tjYeFw2ETweDzweDwUFBZQsuru74XQ6aUeswWDA6OjogiJHkhI/1qg/JiYGubm5dHSGbARMJhNSUlIgEAgibvIhTiH19fVe5CiVSnH++efj6aef/lGTo8PhwN69e7F9+3acc845eOedd8Dn8/H6668jPj4ev//973Hbbbfhsccew4oVK8Bms2kkuW7dOjAYDFpv/2/EvH3bSc69tbU17LE8Hg9arZb+Tv7P5/P9/kb+fjzmuxYKmEwmGhoa0NDQgAcffBBdXV3Yvn07zjrrLKSmpmLdunX41a9+FbGIstPpRG9vL9hstp8R7ImCp66qp4sCIYvCwkIYjUbIZDK0t7eDyWQeF0Ht8fFxKBQKNDQ0nBDxBl+ykMvl6OzshNFoRHZ2NsxmMzgczgn/DEmqd65T4lwuF5mZmcjMzITD4YBSqYREIkFvb2/AurUndDodNWD2JEeZTIYNGzbg8ccfx+rVq+fsXBciWCwWLr/8cjCZTNx99934+c9/ji+//JJqTn/44YdYt24dbr31VmzduhUrV64Ei8VCd3c3BgcHsX79+gXTYX8iMG8p1qeeegp33nknJTK9Xk998ciMDcFFF12EgoICPPjggwCAr7/+GhdddJFXDbK7uxslJSUAgMsuuwyZmZk/yBrkXMLlcqG/vx/bt2/HRx99hLi4OKxbtw6//vWvIRQKAy6aRACAiGmf6IUVODpdVbPZTFVsnE4nJcu5rNWKRCLqJr9QIuypqSlIJBJUV1dDo9Fgenqa2jURQfXj/ZkScpzr2mwokCYnuVxOm3yEQiFSUlLA4XDoGI7vyItCocC5556LBx54gM4b/phhtVrB5XKhUqnwr3/9C7fccgvWrl2L999/nx5z4MABrFu3Drm5udi0aRMyMjJw3nnn4ayzzsLLL798vE71xC9EATBvBGk0Gr0iv61bt2J0dBQvvPCC36D38eje+rGD1O62b9+O999/H1wuF7/+9a+xbt066mkplUqxb98+LFu27KgEAOYDc6GrSiIrmUwGq9XqpeJzNI9H9GctFgsqKysXDDlKJBJIpVI/QW1i1ySTyaDRaKhGakpKyryf+4kgR194NvkoFAowmUyYTCZUV1cjOTmZHjczM4NzzjkHd911F37961+fkHM9niCpUp1OhwceeABdXV1obm6GXC7HaaedRsc4AKClpQVnnXUWpFIp+Hw+Vq1a5UWixwH/XQTpi/vuu4826YyPj5+Q7q3/FrhcLoyPj1ObLqfTiVWrVmH79u24++67/TQgTxTmQ1fVdzA/JSUFQqEwYmECl8uFvr4+MBiMeXUJmS0mJiaoiW+oVG+g8QnS5DTX9dOFQI6+MBqNaG1thVAohEajwf79+zE1NYUzzzwT9913H2677Tacc845J/o0jxusVisWLVqEtLQ0nHPOOaivr8dzzz2H7du3o6mpCXv27KHXuFqtxrZt25CcnEzFCo4jFsYXzQc/OiWdwcFB1NTU4LzzzgvYMfv666/jmWeeweDgIOLj43HRRRfhoYceoovHmjVrsH//fvp7VlYW+vv7j+trmEu4XC58/fXX+O1vf4vS0lIYjUbqaXkizXyPh66qr69juDQk0cSNiopCcXHxgiHHsbExzMzMoLa2dlYRIYmspqenoVQq57TJKZgazYmEyWRCW1ubl7qRVCrFv//9b7z55puwWCy44IILwmojB8Kzzz6L1157DZ2dnbjwwgvx2muvBTzummuu8Vp3iFwcaSo8HuuLp5/jSy+9hDvuuANffvklNU9Qq9V47bXXsHnzZixZsgTffPPNQjBHWBhfNh8sjNzRHOL6668POc9kNBrx1FNPQaFQ4MCBA9ixYwe2bt3qdcyzzz4LvV4PvV7/gyZHANizZw82bdqEr7/+Gl9//TU++OADCAQC3HbbbVizZg0effRR9PX1IcxGaU5hNpvR2tqKgoKCeRUdZ7FYSEtLQ01NDZYuXYqUlBRMTU0FVLFxOp3o7OxEXFwcSkpKFgw5ikQiqNXqWZMjADAYDPD5fBQXF2Pp0qUoLS2FzWZDe3s7Dh8+jPHxca/xqUixUMmRKMt4NvDx+Xzs2LEDd955J7q6urB06VK88MILqK+v92v+C4XMzEzcdddduPzyy0Me9+KLL9K1Q6/X48ILL8SGDRu8jpmP9UUikeB///d/AcDr2pVKpXC5XLRUYLfbkZiYiMsvvxwbNmzA3r17sXr1apjN5jk5jx8bTvzg2xxi27ZtSExMxIoVKzA0NBTwmGuvvZb+PysrCxdffDG++eab43WKxx0HDx7EJ598QolIKBRi48aN2LhxI5RKJd5//33cc889mJqawumnn46zzz57XutuxIapoqJiTjwKIwWTyURqaipSU1O9VGwGBgbA4/FgMBiQkZGxYATjSU3ZaDTOWZNQXFwc4uLikJ+fD7PZDLlcjp6eHjgcDjo+Eq5uuxDJkQjZV1RUeFl7mUwmXHjhhbjkkkto1+b69euxfv36iAzSPUHSsocPH4ZYLI7oPgaDAW+//TY++uijWbya2cNms+H3v/89iouLceGFF3r9rbKyEmq1Gt9++y1OPfVUsNls2Gw2xMfH47rrrsPu3buxb98+XHfddXj11Vfn9Tx/iPjRRJBarRb33HMPnnjiiVndb/fu3X7NPrfffjtSU1Nx0kknHbVS/kIB6UoLhJSUFFx++eX46KOPsGPHDlRWVuLhhx/GySefjHvvvRetra1zohNKQHRVq6urjys5+oLJZCI5ORnl5eVYtGgRDAYDuFwuJicn0dHRAalUCrvdfsLOz9Okurq6el42K9HR0cjJycGiRYvQ0NCA6OhoDA8P48CBAxgcHIRGo/HLKixUciTWUZ7z0mazGRdffDHOO++8gFHf8Ugpvv322xAIBFi1apXX7XO9vnA4HDz11FP461//CsDd9EhQVlaGuro6PPjgg3R6gMPh0G722tpafPrppz+RYxD8aAgyUlECT/zjH//A4cOHsWnTJnrbo48+ipGREUgkElx99dX49a9/jeHh4fk45QWFxMREXHrppXj33XexZ88eLFq0CE899RRWrFiBO+64AwcPHjwmsiS2XnV1dQtmhtVqtaKtrQ0FBQVobGzEsmXLUFBQAIPBgObmZrS2tmJychI2m+24nZPL5cLAwADsdjsqKyuPS6qXw+EgMzOTCqonJCR4CcorlUrI5fIFp9pjsVjQ1taGsrIyrw2X1WrFb3/7W5x55pnYuHHjCUuXv/7667jsssu8nn++1pfKykqwWCzccccdOPfcc/H8888DcJszX3311ejp6cFtt92GTz75BBaLBYcOHcK///1v5Ofn4xe/+MUxP/+PFT+KJp22tjZcfPHFaG1tBZfL9eqYDYb33nsPGzduxFdffYWampqgx51xxhlYu3Ytbrjhhvk49QUPk8mEzz77DNu3b0d7eztWr16N9evXY9myZRHvwmUyGUQi0YLqdiRpuaKioqDOJUTFx1PyTSgUzttrIB20TCZzQRhnE0H58fFxqFQqCAQCpKenIyUl5YQ3dVitVrS2tqKkpMRrlIOkG1esWIHbbrttzt/Du+66C2KxOGiTDsHExAQKCgowMDAQ0nT5WNcX31Tx7t27ce+992JiYgLXXXcdbr31VgDuZp2//e1vaG1tRWxsLDgcDvLy8nDw4MGFsuFZGEV/H/woapA7d+7E6OgoHRUgogQ9PT1+ogSAOwVx1VVX4eOPPw5JjoC74H08G1gWGmJiYnD22Wfj7LPPhsViwZdffok333wTt9xyC1asWIH169fjpJNOCqqT6inTdiK1VD1BGjrC+UvGxcWhoKCASr7JZDJ0dnYCAJ21nCv3DJfLhZ6eHnC53AXTQctkMuFyuWCz2XDyySdT2buRkRHExMScMI1cEvkXFxd7kaPdbsdVV12FxYsXzws5zgZvvPEGVqxYEZIcgWNfXwg5bt68GZs2bcKqVavwxBNPYNOmTfjrX/8Ku92OP/7xj9i4cSOWL1+OiYkJtLS0IC8vD7/5zW8WCjkuWPwoIsjZiBJ8/fXX2LBhA959912/2oBarcaBAwewevVqsNls/Oc//8HVV1+NlpYWlJWVHZfX8kOB1WrFN998g+3bt2Pfvn1YsmQJ1q9fj9WrV9Mv3X/+8x+UlJSEnd07niBNQlVVVV4NHbOBxWKhwgR2u91LmOBoQMZLYmJiTujojS/kcjmN/D0XUpfL5RVdczgcOj4y3xkCm82G1tZWFBYWekX+DocD1157LYqKinDffffN+Xtot9tht9uxZcsWiMVivPzyy2Cz2UFnS8vKyvCnP/3Jq/45X+vLwYMHcfrpp+P666/HPffcg6ioKHR2duKWW27B0NAQNm7ciNtvv/2oH/84YWFc9D74URCkL0KJEpxyyinYs2ePl37nypUr8emnn0Iul+PMM89EX18fWCwWysvL8cADD+DnP//5CXw1Cx92ux27d+/G9u3bsXv3btTV1cFsNsNgMOA///nPgokctVoturu7UVNTE9KXbzaw2WyULM1mM1JTU5GWlgYejxfRIk2UhPh8PgoKCubknOYChBwbGhrCfn4kupbL5XC5XPMi+we43+u2tjbk5+d7bXwdDgduvPFGpKen46GHHpqXDcZ9992HLVu2eN1277334vLLL/cTPfnuu+9w2mmnUVUagrlaX5xOp1fjltVqxZVXXokDBw5g+/btNCvW19eHm266Cf39/T8EkvyJIH9sCCdK8Nprr+GKK67wSsN99NFHWLNmDQB348oVV1yBL774AqmpqXj44Yd/8ApBVqsV5557LqampmA2m1FVVYX169fj5z//+Qk1PSZ+gPNpvmy326kwgcFgoCo+wZwnnE4nOjo6kJSUtGDGS4DZkaMvrFYrZDIZZDIZbDYbHR+JdMMQDHa7Ha2trcjNzUVaWhq93el04tZbbwWPx8PWrVsXjCzgfMGTHFUqFZKSksBgMKDValFRUYGTTjqJ2loB7jXqtttuw1dffYVHHnkEN95444k69XBYkAT5476a5hnhRAkAYPny5V6Dw4Qcyf25XC6mp6fxr3/9C9deey26u7vn+aznDxaLBRdffDGWLFmCQ4cOoaOjA7fccguam5vxs5/9DJdeeinefvvt425VplQqqVnufJI0m81Geno6amtrsWTJEiQlJUEikdBuUJVKRTuBHQ4H2tvbkZKS8qMhR8DtvpGdnY3GxkYsWrQIcXFxEIlE2L9/PwYGBqBWq2ddc3M4HGhra0NOTo4fOW7evBlcLve/ghwB0Nd43XXXoaysDM899xyam5sRHx+Pxx57DF988QUd9wCAkpISPPHEE7jwwgtxwQUXnKjT/sHipwjyKLFt2za88847qKysDNox+9prr+Hvf/879u7d6/c34lLS1dWF0tJSAMCll16KrKysH6xLycDAAL755hts3LjR729OpxNtbW1466238OmnnyI3N5d6Wvr6fc4lZDIZRkdHj4vRcTCQblCZTAa1Wg0+nw+dTofs7OxZjSXNN8h7dbTkGAoOh4MKqmu12rBWVZ73a2trQ2Zmptc8r9PpxL333gudTocXX3zxv4IcCcxmM0477TTs27cPZ599NqRSKa655hqcccYZuPLKK2GxWPDUU0+hvLycdrn6pmUXIBZkBPmj6GI93iCiBDt27MArr7wS8tjW1lakpqYiOTkZl156KW6//Xaw2WwMDAyAxWJRcgSAuro67Nq1a75Pf95QWlrq9Xo8wWQy0djYiMbGRjz00EPo6urCW2+9hV//+tcQCARYt24d1q5dG7GnZSSYmpqCWCyelwV/NmAymUhJSUFKSgpsNhuam5sRFRUFsVgMtVpNu0FPZCOTTCbD2NjYvL1XLBYLAoEAAoHAS8locHAQPB6PWlV5Nr2QKDsjI8OLHF0uFx588EEolUq88sorC33hP2b4klt0dDRef/11nHLKKeBwOPjNb36DK664Atdeey0KCwvx3HPP4YsvvkB5eTm934/9PZov/ESQR4FIRQlWrVqFrq4u5OXlobu7G+effz7YbDZuv/126PV6v8gpISHhuKcfTwQYDAZqampQU1ODLVu2oK+vD9u3b8d5552H+Ph4nHXWWZQ4j7ZuJRaLIZPJ0NDQMOcuFkcL0mRSUFCAtLQ0uFwu6HQ6Oid6okYnCDnW19cfl+clSkbJycl+70F0dDQly56eHgiFQi9rNpfLhcceewzj4+N4/fXXF0x39HyCkNtHH32EtWvXgsFgoKioCNdddx127tyJ008/Haeccgpuu+028Pl82O123HzzzVi+fHnYEtBPCI2fthWzRFtbG7766ivccsstYY8tLCxEQUEBmEwmampqcM8992D79u0AAB6P5yeWrNVqF4zKzPECg8FARUUF7r77buzfvx8vvPACjEYjLrroIqxduxYvvvgipqamZlW3Gh0dhUKhQF1d3YIhRzLYnpeXR+toDAYD8fHxVEy8qKgIJpMJLS0taGlpgVgshtVqndfzOt7k6AvP92DZsmUoKSmB2WzGvn37YDQa4XQ66ffE5XLh6aefRk9PD1577bUF89keD3z99dc4//zzUVNTgy+++AI6nQ7nn38+FAoFtm3bhtraWrz55pv4zW9+g1NPPRUATqic448FPxHkLOEpSpCeno6tW7fi7bffRmNjY9j7eg4Fl5aWwm63Y3BwkP6duBH8t4Lx/+2dd1RU19rGnxmkCIOgNAWliiiIKKIE5SKWiKgIiBqJBaxcr+WamNiiYpKrMVHRq8Ro1IASy12iWFBURLrdAAkoWFCK0qTOIHV4vz/45sSRUUDKDHh+a+21Zs7Zc84+A3Oes/d+9/NyOOjbty/WrFmD+Ph4HDlyBADg7e0NJycn7N27F1lZWe8US5GHKZ/Px6BBg2SmdyESR2NjY2hra0usw+FwwOPxYGxsDFtbW/Tv3x+1tbVimTdaO+NCXl6eVMVREl27dgWfz4eJiQmGDh0KAPj6668xfPhwzJ49GxERETh27NgHtdff3x82NjZQVFSEt7f3O+sFBgZCTk4OPB6PKW96phYVFcHd3R0qKiowMDDA8ePHm92W5jJ06FCEhIRAV1cX06ZNw6JFi1BZWYnvvvsOW7Zswa1bt6Cjo4PPPvsM4eHhyM7OhqmpaZu3q7PDBuk0k+aYEoSFhcHa2ho6OjpITU3FtGnTMH36dPj6+gIAZs6cCQ6Hg0OHDiExMRETJ07EjRs3PmqRlAQRIScnB6dPn8aZM2dQUVEBFxcXuLq6wsjICBwOB0KhEBcvXkTfvn0xYMAAmVlsL/IL7du37wfPr4oyb+Tn56Ourq5V1hnm5eUhMzNTpsRRtCa0W7duMDQ0ZLYTEfz9/XH+/HloaGjgxYsXcHZ2hru7OyOiTeHMmTPgcrm4cuUKKioq3mkX977gOgDw9PREXV0dDh8+jMTEREyaNKnVfreSgmnezO8I1N9zzpw5g4SEBKxfvx5hYWFQVlbG0aNHxYajOxiy8YN9i49njKKVUFZWFrsx8Xg8KCkpQUtLq4EpQUREBLy9vSEQCKCjo4PZs2dj/fr1zGf37duH+fPnM3Muv/zyCyuOEuBwONDV1cXy5cuxbNky5OfnIyQkBF9++SWKi4sxYcIE3Lt3D7169YKLi4vMiKMo00RjlnaNIcq80adPH1RXV6OgoABpaWmorq5mjAkaS1P1JiJxlKX5WSJCSkoKVFVVxcQRqDf9vn79OiIiIqCkpITy8nLGH7g5AvkhKaveRpTCKjk5GTweD/b29pgyZQqCgoJaHH1eUlICdXX1Bv6qor+rSDy/+uorTJw4ERcuXGDMC0Q2kG+bo7O0DLYH2UFozJRAFjKZS4OcnBxMmTIFQqEQQL35s7u7OwYMGCDVyD2R32v//v3bbC6opqaGMSaoqKhgjAm6dev2zpukLItj165dYWJiIrbv2LFjOHnyJC5cuNBqa1gbMxwPDAzE0qVL0bVr1wbR5wkJCRgxYoRYoukdO3YgOjoaFy5c+OA2/fDDD/jmm2/w5MkTGBsbvzNf5du9ydTUVGzatAlRUVEIDQ3F8OHDP7gNUkYmVV02fiEsjdKYKcH+/fuxf/9+5r23t3cDgfD398fChQvbrI3tTUVFBRYvXoxZs2Zh5cqVKCkpwfnz57FlyxY8f/4cn376Kdzd3TFo0KB2FcvW8HttCvLy8swSCKFQiMLCQmRlZYHP56NHjx7Q1taGuro6c0PNzc1llr3Ikjg+fPgQSkpKDYy9T506hWPHjiE0NLRdXZikEX1uYmKCfv36YcSIEYiJiUG/fv0kiuSb4lhXV4f+/fvj4MGDEAgE0NPTa1EbWBoiG78Slvdy8uRJqKurY8SIEXjy5Emj9dsrk7m0iYyMhJubGxYsWACgPmpv7ty5mDt3Lvh8Pi5evIhdu3YhLS0NY8eOhaurK2xsbNpULAUCAf766y8MHDiwXSOS30zHVVdXh6KiIuTk5CA1NRVqamqQl5dHSUmJzIljamoq5OXlYWJiInbzP3v2LA4dOoTQ0NBW881tKm8KtSj6fPv27Vi3bl2bRZ/PmDEDPB4Pq1evhq2tLeLi4mBhYfHOniTwd7YVNTW1NjXb+Jhho1hlHJEpwc6dO5v8mfbKZC5tJk6cyIjj26iqqmLmzJk4deoUbt26BXt7e/z666+ws7PD6tWrER8fzwzLthZ8Ph9//fUXLC0tpbpch8vlQlNTE+bm5rC1tYWCggJycnJQU1OD1NRU5Ofnt/q1NxciQlpaGrhcboP0XhcvXmSCcmThxt/W0eeiY0+cOBHbt2+HgYEB7OzskJCQADk5uff+rdj5xraFFUgZp6mmBG/SnpnMOwLKysrw8PDA8ePHcffuXTg5OSEoKAh2dnZYuXIloqOjUVtb26JzlJWVITk5GYMGDWr3Hs/7yMvLQ0lJCUaMGAE7Ozv06dMHpaWljFdubm5ui6+9uRARIzBvJ4a+evUqdu7ciQsXLrQosEkStbW1qKyshFAohFAoRGVlpcRrDwsLQ15eHoD6Ob7vv/8erq6uAOpzhE6dOhWbNm1CeXk54uPjce7cOcyZM+eD2yWKwgYAZ2dn/Pjjj+jXrx/s7e1x9+5dxiqOpf1hg3RkmMTERMyaNQsJCQlQUFAQS+P1Ltork3lnoLq6GtevX0dwcDBu3rwJW1tbuLm5wcHBoVm+raWlpXj48CGsrKxaLYFya5CTk4OXL19KNEwgIggEAuTn5+PVq1dQUFCAjo4OtLS02nTZh2itak1NTYPlOJGRkdi8eTMuXrz4zvWiLaGpKau++uorBAUFiUWfb9y4kfleioqKMH/+fISHh0NDQwPbtm37oCw8bwfcvEl4eDg2bNiApKQkREREYOTIkR3BT7UlyGRXmBVIGWb37t345ptvmOE6gUAAoVCIAQMG4I8//pD4mS1btuDKlSuIiYl577GdnZ3h7Owsy+lv2pXa2lpER0cjODgYsbGxGDJkCNzc3DB69Gix3KFvU1xcjLS0NJkVx8GDBzfJMOHNBMhvzme2dgLkp0+forKyEubm5mLiEBsbi/Xr1+PixYvo2bNnq55TFhGJXUJCAu7cuYOkpCQmoEzktHT9+nVs3LgRd+/eRXh4OEaNGtWZRZIVSJbm0RxTAhHtmcm8syIUChEfH4/g4GBcv34dAwcOhJubG8aNGycWTfns2TPk5+fDysrqvSLa3jRXHN+moqKCMSYgIkYsW/oAkJ6ejtevX8PCwkJMHG/evImvvvoKoaGhH0UkpkjkwsPDsWjRInTr1g08Hg937tzBsmXLMG/ePFhZWQGod+767rvvmGUcEydOlHLr2wyZFEjZCGdjkUhzTAmA+htNdnY2pk+fLnacmpoabNiwQSyT+dmzZ1lxfAdycnJwcHCAg4MD6urqcOfOHZw6dQpbt26Fqakp3NzcUFVVhT179iAqKkqmxPHly5fIycn5YHEE6u3e9PX1oa+vj6qqKhQUFODhw4eora1lXHxUVFSadcznz59DIBDA0tJSTBzv3buHVatW4fz58x+FOAL1QVR37tzBzJkzsXDhQmzevJkxfdi3bx/y8/OxZs0aWFlZwdHRERwOB3w+H5mZmdJu+kcH24NkEaM5hgK7du3Cjz/+iIqKCnh4eOCXX35hhuSKioqwYMECXL16FZqamvjhhx8+aJ5Glqirq0NCQgK2bt2K2NhY2NnZYcqUKW2e07KptIY4vo+amhqmZ1lZWcm4+PB4vPdGU2ZkZKC0tBQDBw4UGx5MTEzEkiVLcPbsWRgZGbV6e2WV0tJS+Pj4QE1NDQcOHEBeXh6srKzg5OSEgQMHYs2aNfD09MQXX3wBGxsbAPWjAm+m/OqEsD1Ilo5BUwwFrly5gm3btuH69evQ1dWFu7s7fH19GbutpUuXQkFBAXl5eYxfpZWVVYe20uNyucywampqKrKzsxEcHIzJkydDW1sbrq6umDx5Mnr06NHubWtrcQTqjQl0dXWhq6uL2tpaFBYW4tmzZygvL2dcfNTU1MTEMjMzE8XFxQ3MGpKTk7FkyRKcOnXqoxDHmpoaJshHTU0Ntra26Nu3LyoqKjBhwgTY2NjAz88PGhoaSEhIQEhICIRCIf7973/Dzs6us4ujzML2IFnEcHR0xOzZsxsVyM8//xyGhobYunUrACAiIgKzZs1Cbm4uysvL0b17dyQnJzMJlOfMmQM9Pb0W+1VKk/T0dCxatAghISFiDjmiBe/BwcG4cOEC1NTU4OrqChcXF2hqarb5WrUXL14wvRBpZDARCoUoKipCfn4+ysrK0L17d2hra6O8vJxJO/amOD58+BDz58/HyZMnMWDAgHZvb3uRm5uL0tJSZiojKSkJ169fxxdffIHS0lKoqakhODgYvr6+OHr0KPNws2HDBuzbtw8lJSU4efIkZsyYIeUraRdksgfZKcOhWFpGUwwFUlJSmEACALCyskJeXh4KCwvx6NEjyMnJMeIo2p+SktLWTW9TjI2NcfXq1Qb2cW/mtLx9+zb27dsHgUAAT09PTJ48GQcOHEBubm6zclo2FWmLI1A/Z6ulpQULCwvY2tpCS0sL6enpePz4MeTl5ZGbm8t4lz569Ajz58/H77//3qnFsbKyEidPnsSCBQsQGxuLjIwM2NnZ4eXLlxAKhcyQfEZGBp49e4aePXtCTk4OVVVVqK6uxsGDB/Hs2bOPRRxlFlYgWcRoqqHA256Uotd8Pr/N/CplgcZEiMPhwNTUFGvXrkV8fDwCAgJQV1cHLy8vTJgwAf7+/sjOzm4VsZQFcXwbLpeLqqoqcDgcODg4oHfv3khMTMTw4cMxefJkzJgxA7/88gssLS0/6PhNzel45MgRDB06FN26dUPv3r2xevVqMVMAR0dHKCkpMfkeWztgTUlJCSYmJigsLMSCBQtgYWEBb29vbN68Waw3bWBggO7du2PXrl24e/cuQkNDERQUhMLCQhgYGLRqm1iaDyuQbcjr169x7Ngx/PbbbygpKZF2c5qEra0tVFVVoaioCC8vL4wcORKXLl1qUO9tT0rRa1VV1Tbzq+xocDgcGBoaYtWqVYiJicHJkyehpKQEHx8fjBs3Drt27UJ6evoHiWV2drbMiSNQH0wimgvt0qUL1NXVmdRMlZWVsLe3x/LlyzF16lT8/vvvKC0tbdbxdXV1sWHDBrFlTJJ4/fo1du/ejVevXuH27duIiIjAjh07xOr4+/tDIBBAIBC0SWYbFxcXrFq1Cunp6ejSpQtsbW2ZtGQi5xwPDw+MGzcOR48ehb29PXx8fODu7o7Fixe3entYmg8bpNOGFBQUwM/PDwkJCfDx8cHAgQPh4+OD2bNny5Qd2ft404fyTSwsLJCUlMQMASUlJUFHRwcaGhpQUlJi/CpFWc1b6lfZ0eFwONDT08OKFSuwfPly5Ofn48yZM8x81MSJE+Hq6trAek0S2dnZzPpLWRLHvLw8vHjxokGg0IsXLzBr1izs27cPdnZ2AOrnIUV5FUeOHNnkczQ1p+OSJUuY13p6epg1axYiIyObe0kfjMhkPDs7G05OTsjKysLWrVuhoKAAT09PyMnJobq6GgoKCjhy5AjOnTuHV69eQUNDA25ubu3WTpZGIKL3FZYWcPXqVVJWVqZff/2V7ty5Q6tXryYjIyPy9PSkgoICaTevAcXFxXT58mWqqKigmpoa+v3330lZWZlSU1Mb1A0LCyMdHR1KSUmhoqIiGj16NK1Zs4bZ/9lnn9HMmTNJIBBQXFwcdevWjZKTk9vzcjoMBQUFdOjQIXJ2diZra2tav3493b17lwQCAZWXl4uVtLQ0iouLo7Kysgb7pFmePXtGUVFRVFpaKrb96dOnNGTIEIqOjm7V7+ybb74hLy+vJtd3dXUV+/8cNWoUaWpqkoaGBo0YMYIiIyNbpV1CoVDi9rCwMBo6dCj17duXjhw5wmyvra2VyXuBFGhMi6RSWIFsIyorK2nTpk2koqJCubm5RERUVVVFJ06cIDk5Odq9ezfV1dVJuZXi5Ofnk42NDfF4PFJTUyNbW1u6evUqERFlZGSQiooKZWRkMPV37txJ2trapKqqSt7e3lRZWcnsKywsJFdXV1JWVqY+ffrQsWPH2v16OiLFxcV05MgRmjJlCg0ePJi+/vprio+PJz6fT5s3b6Zvv/1W5sTx+fPnFBkZSSUlJQ1E09ramiIiIlr9e2qOQP7222+kp6cnJkS3bt2isrIyqqyspMDAQOLxePTkyZMWtammpoaIiMrLy+nPP/+kixcvUlpaGrP/8uXLNGzYMDIxMaHAwEAiIvrzzz/JwsKCfvvttxaduxMgdTGUVFiBbCMyMzPJzs6OJkyYQETEiGFZWRkZGBjQp59+KlZf1sSyPRg1ahQpKiqSiooKqaioUL9+/STWCwwMJGtra1JVVSU9PT36+uuvmZtRc47T0SgtLaXjx4+Th4cHGRsbk6WlJV25coX4fL7URVFUMjIyJIpjRkYG2djYUFhYWJt8N00VyJCQENLW1qY///zzvfWcnJxoz549H9ye2tpaIiIqKSmhYcOGkZGREXE4HOrTpw95eHhQVVUVERFFR0eTnZ0daWhokLOzM+nr69OkSZM++LydCKmLoaTCBum0EY8fP8b9+/fh4+MDoH6hMAA8ePAA1dXVzMJfUWSdaN5JKBR+VKltmhIoIQsBF9KgW7du8PT0xJgxY2BmZoZ169YhICAAdnZ2WLNmDW7cuCHVvI6FhYV4+vQpBg8eLJYBpLi4GDNmzICvry8mTJggtfZdvnwZixYtwoULFxqNmn3XXHtTkZOTQ2VlJRwdHaGurg5/f388ePAAy5Ytw5kzZzB+/HgIhUI4ODhgz549cHd3R0VFBdzd3Tt9YvOODBuk0wZUVVXh3r17qKmpwb1792BnZwcdHR2UlZXh4MGDyM3NxbRp0wDUr5cSZeZwcHCQGHRRXFyM6OhoWFpawsTEpF2vRRaQdsCFNDlw4AAuX76MkJAQKCoqwtPTE5WVlbh69SqOHj2KlStXYuTIkXB3d8eIESMapLVqK4qKivDkyRMMGTJELDVYaWkpZsyYgTVr1mDy5Mmtft7a2lrU1taK5XTs0qVLg+u+fv06Zs2ahZCQEAwfPlxsnyTz/piYGOzevfuD2iQKyDl9+jQEAgEOHToES0tLKCgoIDIyEoqKivDw8ICcnByICDY2NrCwsECXLl3aNLUYSyvQSBeT5QPIzs6m0aNHU69evcjCwoK4XC7p6emRubk5cTgccnV1JaL6iXsjIyMyNDSknj17Eo/Ho+XLl1NJSQkRETMsExQURAMGDOh083gfGijRXgEXskBSUpLY3O7bVFVV0aVLl2jBggVkbm5O8+fPp/Pnz1NxcXGbDatmZ2dTREQEFRUViW3Pzc0le3t7OnnyZJt9H76+voR6hy+m+Pr6Npgjd3R0JDk5OWbYXUVFhZnueN9ce1Pg8/n06NEjunfvHvNbJSJav349GRgYMO+PHDlCHA6Hdu/ezZx33759VF1d3QrfRKdD6sOpkgorkG1AVFQUde3alX799VeqqamhxMRE2r9/P33xxRd05swZIiK6dOkSqaurk6OjI12+fJlSUlLol19+ISMjI7G5kNu3b9OcOXPIyMiIXr58SUTUaX5gHxIo0V4BFx2R6upqunbtGvn4+JC5uTnNmTOHgoODGwhZS8qLFy8oIiKCCgsLxbbn5+eTo6MjBQUFSftraFOysrLIycmJDAwMSFFRkfr27Uu3bt0iIqIdO3ZQjx49SCAQ0JkzZ4jD4dBPP/1ERPVzlPv27aNZs2ZRZmamNC9BVpG6GEoqrEC2MtXV1bRt2zZSVFQUi/h8m3/84x80ZMgQKiwsFNvu5eVFJiYmVFFRQYWFhWRnZ0ccDoc0NTUpICCAXr9+LVa/rq6OCRDo6DQWKNFeARedgdraWoqKiqJly5bRwIEDaebMmXTixAkqKCj4YHF8+fKlRHF89eoVjR07lg4fPizty25TsrOzSVdXl5ycnGjv3r30zTffkKGhIamqqtJff/1FN2/eJAUFBXJzcyN5eXnaunUr89nk5GSytbWl5cuXS/EKZBqpi6GkwgpkK5OVlUUjR46ksWPHim0XCoXMGqmcnBzicrnE4XBowIAB9MMPPzBiGhQURHp6enTz5k0iItq/fz/16NGDRowYQb179yYFBQXauXOnxHO/eY6OyIQJE+i///2vxH1hYWGkqalJt2/fbtFxPkaEQiHduHGDvvjiC7K0tCQPDw8KCgqivLy8JotjTk4OXbt2jV69eiW2vbCwkJycnGj//v2dOhI7Pz+fdHV1aerUqZSXl8dsDwkJIWVlZWba5MsvvyQOh0P/+Mc/6NGjR0REFBkZScOHDyc7OztpNL2jIHUxlFRYgWxlHj16RHp6eszQypuIxOv8+fOkqKhIu3fvpnXr1pGZmRlxOBwyNTWlYcOGkby8PNOznD9/PhkZGdEff/xB1dXVFBkZSSkpKUREdObMGfryyy/p8OHDVFRU9M427dq1i7y8vJg5TVmgOaYEERER1KNHD4mLzZtzHJb6/8G7d+/S6tWrycrKilxdXenw4cP08uXLd4pjbm4uXbt2rUHvs7i4mCZNmkR79uzp1OJYXV1Njo6OxOFwmOHRN6/X1tZWbNnW+vXrSUFBgUxNTUlfX5/Mzc1p9OjRHfrhtR2QuhhKKqxAthHvC6y4ceMG6enp0ZUrV4iISCAQ0P3792nz5s00ePBgcnR0JKL6IZ0hQ4aQk5NTg2O8evWK1q1bRzNnzqT+/fuTuro6LVy4kF69eiVWLycnh0aPHk1aWlpE9G6nj/amOaYEbRlw8TEjFAopMTGRNmzYQNbW1uTs7Ez79++nrKwsRgRjY2Pp5MmTlJ+fLyaOJSUl5ObmRjt27OjU4khU/xC2bds2UlNToxkzZjSY5hg4cCDNnTtX7LcVFhZGBw8epK1bt9LVq1fF1u2ySETqYiipsALZyjRFgCoqKmjo0KE0btw4evz4cYPPi4Zwjh8/Tr169aItW7YQETWYaxS9r62tpeDgYDI2NmZ6rqJ2REZGkrq6OnMM9ofKIom6ujpKSUmhb7/9loYNG0affvop+fr6krGxMcXHx4uJY2lpKU2bNo22bt3a6cVRRElJCf3888/McGp5eTkRES1fvpx69OjB/GbZ39cHI3UxlFRYgZQSycnJZGNjQ/b29uTn50fh4eF05coVMcH85z//SYaGhnTnzh0i+jt6taqqimJiYujbb7+ltWvXUkxMDBER7du3j7S1tcXOs337duJwOPTs2TMiaujYI/pBHzp0iObOnfvewKLOQFNddwICAojL5Yr1Wt9cPlJYWEhubm6krKxM+vr6nWoJTl1dHYWHh1OvXr3I3t6eRo8eTX5+fvT06VMqKyujWbNmka+v70cjjiJKS0vpwIEDxOPxaNq0abR8+XLi8Xh07do1Imr4AMvSLKQuhpIKK5BSQHRjSUtLoxUrVpCRkRH17duXXFxcaO/evURUP6xjb29PI0eObPC5bdu2kbKyMtnY2JCjoyPxeDxSV1cnIyMjsrS0ZJaD5Obm0qRJk8jU1FTs85La4uzsTEZGRkyEaGe9+Y0aNYoOHjzYaL2AgACx7/5tZs6cSTNmzCA+n0+xsbGdyow9PT2drKysKDExkerq6ig9PZ22b99OI0eOpN69e9OKFSta9P+xd+9eGjp0KCkoKDRqF+fn50c6OjrUrVs3mjdvXgO/3/Z+SCkrK6PDhw+Trq4ucTicNl3z+ZEhdTGUVFiBlBHS09PFFh4XFhbS+PHjydbWlmpqapgb0osXL8jIyIimTZtGeXl5VFxcTM+fP6dz584xNxyROXpUVBR1796dNmzYQEQNh39ExywoKCBdXV3y8fHptMIoojUEUiAQkLy8vJgR9ezZs8XMCzoy69evp/v37zfYXldXR/fv32/xMOLp06cpJCSE/vnPf75XIC9fvkza2tqUnJxMRUVFNGrUKLHvWFoPKWVlZXTkyBHq2bMnjR07tsG8P8sHIXUxlFRYgZQiQqHwvTeb/fv3k7q6OllbW5Ofnx/V1tbStWvXSEtLi/z8/MTq3rp1izgcjth2Pz8/4nA4TLj52+InGhIKDAwkDQ0NZh2bpHqyEtzTUprquhMQEEDKysqkoaFBpqam9N133zF/qz/++IOUlJTE6m/fvp0mT57c1s3vVDRmOO7p6Unr1q1j3l+7do10dHSISPoPKQKBgIKCgkhDQ4McHByYh1KWD0bqYiipsGblUoTL5b7XO9PHxwcJCQlwcnJCeHg4CgoKYGVlBTU1Ndy8eRMFBQXg8/mIi4vD6tWr0bNnTwwZMgRAffLa6OhoGBgYwNTUFETUIBGv6P3Zs2fRu3dv2NraAqh/aAKA6upqAPVGzFxu5/hX+fHHH5Geno4XL15g8eLFcHFxwdOnTxvUc3BwQHJyMvLz83H69GmcOHEC27dvBwAIBAKoqamJ1VdTUwOfz2+Xa/hYSElJgZWVFfPeysoKeXl5KCwsxKNHjyAnJ4d+/fqJ7U9JSWmXtqmoqMDDwwP+/v54+vQpHB0dkZeX1y7nZmk/Osddr5NCRDA0NMTWrVtx6dIl9OzZE5qamli6dCmuXbuGMWPGYOHChVi5ciViY2Ph6OjI3DAePXqE+Ph4fPbZZwAgMesDl8tFSUkJ7ty5A2tra/Tv35/ZfvDgQSxcuBC2trZYuHAh7t+/L7GNHS3ziK2tLVRVVaGoqAgvLy+MHDkSly5dalDP2NgYRkZG4HK5sLS0xKZNmxAcHAwA4PF4KCsrE6tfVlYGVVXVdrmGj4W3H0REr/l8vkw8pHTt2hVubm7Ytm0b5OXlpZpZhaVtYAVShhGl4Hn7h7dy5UqkpqZi0aJFGDt2LP773/8CAPr37w9dXV0AQFJSEgoLCzF37lwAaNADFB3z0qVLqKysxLBhwyAnJ4eXL19i8eLF8PHxQU5ODpydnfHs2TO4ubnhwoULDdr45nE7mlgCTU9z9Ga9fv36oba2Fo8fP2b2JyUlwcLCos3a+THy9oOI6LWqqqrMPKQoKSlh+vTpuHnzJvPbY+k8sAIp43A4HLEUWESEuro6aGtrY8WKFVi8eDGGDx+OgIAAuLi4AKgfXj1//jx69eoFc3NzAA0FUjS8GhISAj09PQwbNgwAcPDgQZw/fx6//fYbwsPDsXr1ahw/fhzDhg3D6tWrUVpayhzj0qVLiI6OZt6LziGrQllSUoIrV66gsrIStbW1OHbsGGJiYuDk5NSgblhYGDNklpqaiu+//x6urq4A6ofXpk6dik2bNqG8vBzx8fE4d+4c5syZ067X09mxsLBAUlIS8z4pKQk6OjrQ0NCQqYcURUVFqKiotPt5WdqBRiYpWWSU95mU5+fn04wZM2jlypVE9O7Fy3w+n3r37k1z585lbOj69etHKioqTIoeEWfPniUtLS2KiIggIqLnz5+TnZ0ddevWjV6+fEnr16+nixcvttbltQnNce9ZtWoVaWtrk7KyMhkZGdHGjRvFsqgUFhaSq6srKSsrU58+fTrVOsi2pqamhioqKmjt2rU0e/ZsxibwbcLCwkhHR4dSUlKoqKiIRo8eLRaE89lnn9HMmTNJIBBQXFxcp1pq8xEi9YAcSYUVyE5AXV3de9c4vit69dSpU6ShoUH+/v5EVL8uU0lJiT755BPS0dEhOTk5GjFiBB08eJCOHj1KioqKFBcXR0T1IfhmZmakqKhIs2fPJg8PD+revTuNGzeOiZp9G6FQ+NEtpm6qMYGPj4+YKYGCggLxeLxmH6cj0NScjkREO3fuJG1tbVJVVSVvb+8G6yDZh5ROg9TFUFJhBbIT0lhWD9G+SZMmkZmZGbPmLS4ujvT19SkgIICIiK5cuUKLFy8mfX194nA4xOFwSCAQEFG9WQGHw6Gff/6ZcnJyqLy8nC5fvkw8Ho/JNtLY0pDOvuaSqOnrLt/Gy8uL5s2b1+LjsLB0EKQuhpLKu9cYsHRYGluSweVyUVdXBwMDA2hpaTHzlHZ2dlBWVkZcXBy8vLwwfvx4jB8/HuXl5bh9+zZevXoFFRUV5OTk4Pr16zA1NcW//vUv5rhOTk7o2bMnEhISUF1dDQUFBQBAVFQUQkJCkJWVBTc3N3z++efo0qVLg2Und+/exb179+Dp6Ql1dfXW/VI6EOXl5Th9+jRCQ0Ol3RQWlo8aNkjnI4XL5eLnn39GQEAAlJSUQETgcrnYunUr4uLi8MMPPyA9PR0lJSUgIowZMwYzZswAAKSlpeH27dv4/PPPAQBVVVUAgOTkZCgqKgIAFBQUUFlZiYCAAIwZMwahoaGoq6vDli1bsGnTJkRFReF///sfhEIhE9Tz008/ISgoCCUlJQD+DvaprKxsz6+m1Vm3bh00NTUxcuRIREVFNVr/9OnT0NLSgoODQ4uOw8LC0kIa6WKydFLeFeRTXV1NO3bsoF69elH37t1p0qRJtHDhQlq/fj1TR2SALpprFAVYBAYGkpaWFu3fv5+IiM6dO0f6+vo0ffp0ev36NVVUVFBsbCwNHTqULC0ticPhEFH9XJKfnx+pq6vTxo0bmfOIAof8/PzIzMyMoqKi2ubLaENu3bpFZWVlVFlZSYGBgcTj8ejJkyfv/cyYMWPI19e3xcdhYelASH04VVJhBZLlnURERNCaNWto3bp1TPTqixcvyMXFhfr3709E4vOMPj4+pKOjQ9nZ2URENG3aNDI3N2eykYgEWSSwc+bMISKi+/fvk6KiIsnLy5OhoSFt375dLGu7p6cnGRkZMUmQO/LcpZOTE+3Zs+ed+zMzM0lOTo6ePn3aouOwsHQwpC6Gkgo7B8kiBlH9Oks5OTmMGTMGY8aMYbYDQGZmJkJDQ7F06VIAQG1tLRQUFPD48WP88ccfGDRoEPT09FBUVITHjx9j4MCBGDp0qNg5ampqAAAzZ84EAFhbW2PSpElISkrCuHHjsGfPHhw+fBihoaHo0qULEhMTYW1tDTMzswZt7Gg0Zkxw9OhRjBgxAsbGxi06DgsLS8th5yBZxHjTmKCuro6ZBxQF1HzyySe4e/cuNm7cKLb9xo0byMzMxNSpUwEA2dnZ4PP56NmzJ7hcLmpqaiAnJ4eKigpkZmZCXl4ezs7OAOqtw6KjozF58mT4+fkhLS0N586dg4mJCSIjI1FWVoZRo0YhLy8Pz58/B5fL7RDi2BxjAhFHjx6Ft7d3i4/DwsLSctgeJMs7eVc07Js9Qnl5eQDAs2fPUFRUxIjeoEGDQESMN6boWH/++SeuXr2KsWPHMuIaExODoqIijBo1CsrKygDAeMpeu3YNQqEQgYGBiI6ORlhYGCwtLeHv7w8bG5s2uOrWo6amBhs2bEBqairk5OTQv39/nD17FmZmZsjMzIS5uTkePHgAfX19AMDNmzeRnZ2N6dOnN/k4LCwsbQenkWEadgyHpclkZWWhT58+IKrPHLJ27VocOHAAhw4dgoODAwoKCrB27VqEhoYiODiY6W16e3vj9u3bOHfuHGMh1qVLF2RlZWHMmDEoLS3F9u3bYWNjg6KiIixZsgT9+vXD77//zggqCwtLh4bTeBUp0MgkJQtLs3gzaKesrIwmTpxIXbp0ITs7Oxo6dCjp6OhQly5dmMjX169fk46ODi1dupTKysqISDwqtkePHvTdd9+JneOnn34iLpdL+fn57XRVHY8TJ05Q//79SVlZmYyNjSkmJkZiPT8/P9LR0aFu3brRvHnzGjjVuLm5kbKyMunr67NONSxtidQDciQVdg6SpVURDZtevHgRhYWFuHjxIh48eICffvoJa9asgYGBAcaPH8/kwXzy5Any8/NhY2PDZGIQ7YuIiECPHj2YnqZoPaRobjMzM7O9L69DEB4ejjVr1iAgIAB8Ph8xMTESg36uXLmCbdu2ISIiAs+fP0d6ejp8fX2Z/UuXLoWCggLy8vJw7NgxLFmypN3yLbKwyAKsQLK0KqLoyrCwMKxYsQInTpyAkpISNDU1ERAQgMzMTCxZsoSpz+fzoaGhgYcPH0IoFDKRmS9evEBiYiLMzMyYDA1KSkoA6gXgzdReLOL4+vpi06ZN+OSTT8DlcqGnpwc9Pb0G9Y4cOYIFCxbAwsIC3bt3x8aNGxEYGAjgbzef77//HjweD/b29pgyZQqCgoLa+WpYWKQHK5AsrQ6Hw8HChQuhqqqKxYsXw9LSEmPGjMGdO3fw448/YuLEiUzdwYMHY8GCBdi7dy+MjIxw7NgxAPWBOyUlJRg9ejSAv5eGpKWl4fHjxxgyZAh69erV/hcn4wiFQty7dw8FBQXo27cvevfujWXLlqGioqJB3ZSUFFhZWTHvrayskJeXh8LCQjx69AhycnJMsJRoP9uDZPmYYKNYWdqEwYMHM2J37do1FBcXY/jw4TAwMBCrp6ysjG3btmHVqlVM7wWot1vj8/n49NNPAfy9DvPcuXOQl5eHnZ1d+1xIByMvLw81NTUIDg5GbGws5OXl4erqiv/85z/YsmWLWF2BQAA1NTXmveg1n89vsE+0XxSVzMLyMcAKJEubM27cuHfuE02Ga2lp4euvv2a2e3l5wczMDIMGDQLw93KSy5cvw8zMTOaXeEiLrl27AgCWL1/O9LC//PJLiQLJ4/FQVlbGvBe9VlVVbbBPtF80T8zC8jHADrGySBUOhwMul8u444hwcXFhbuj0/8tG0tPTERUVBVNT0wY9UZZ6unfvjt69ezfIlCIJCwsLJCUlMe+TkpKgo6MDDQ0NZrnN48ePxfaL5oNZWD4GWIFkkQlEQilCKBSK7SMiGBoa4sKFCw2cZljEmTdvHvbu3Yv8/HwUFxdj9+7dmDx5coN6c+fOxeHDh/HgwQMUFxfjP//5D/PdqqioYOrUqdi0aRPKy8sRHx+Pc+fOYc6cOe18NSwsUqSRdSAsLCwdjOrqalqyZAmpqamRjo4OLV++nCoqKigjI4NUVFQoIyODqbtz507S1tYmVVVV8vb2brAO0tXVlZSVlalPnz7sOkiWtkTqax4llcacdFhYZArO/+fIknY7WFhYOj+sQLKwsLCwsEiAnYNkYWFhYWGRACuQLCwsLCwsEmAFkoWFhYWFRQKsQLKwsLCwsEiAFUgWFhYWFhYJsALJwsLCwsIiAVYgWVhYWFhYJPB/z8/dIUoOu1YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 792x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "def plot_3D_decision_function(ax, w, b, x1_lim=[4, 6], x2_lim=[0.8, 2.8]):\n",
    "    x1_in_bounds = (X[:, 0] > x1_lim[0]) & (X[:, 0] < x1_lim[1])\n",
    "    X_crop = X[x1_in_bounds]\n",
    "    y_crop = y[x1_in_bounds]\n",
    "    x1s = np.linspace(x1_lim[0], x1_lim[1], 20)\n",
    "    x2s = np.linspace(x2_lim[0], x2_lim[1], 20)\n",
    "    x1, x2 = np.meshgrid(x1s, x2s)\n",
    "    xs = np.c_[x1.ravel(), x2.ravel()]\n",
    "    df = (xs.dot(w) + b).reshape(x1.shape)\n",
    "    m = 1 / np.linalg.norm(w)\n",
    "    boundary_x2s = -x1s*(w[0]/w[1])-b/w[1]\n",
    "    margin_x2s_1 = -x1s*(w[0]/w[1])-(b-1)/w[1]\n",
    "    margin_x2s_2 = -x1s*(w[0]/w[1])-(b+1)/w[1]\n",
    "    ax.plot_surface(x1s, x2, np.zeros_like(x1),\n",
    "                    color=\"b\", alpha=0.2, cstride=100, rstride=100)\n",
    "    ax.plot(x1s, boundary_x2s, 0, \"k-\", linewidth=2, label=r\"$h=0$\")\n",
    "    ax.plot(x1s, margin_x2s_1, 0, \"k--\", linewidth=2, label=r\"$h=\\pm 1$\")\n",
    "    ax.plot(x1s, margin_x2s_2, 0, \"k--\", linewidth=2)\n",
    "    ax.plot(X_crop[:, 0][y_crop==1], X_crop[:, 1][y_crop==1], 0, \"g^\")\n",
    "    ax.plot_wireframe(x1, x2, df, alpha=0.3, color=\"k\")\n",
    "    ax.plot(X_crop[:, 0][y_crop==0], X_crop[:, 1][y_crop==0], 0, \"bs\")\n",
    "    ax.axis(x1_lim + x2_lim)\n",
    "    ax.text(4.5, 2.5, 3.8, \"Decision function $h$\", fontsize=16)\n",
    "    ax.set_xlabel(r\"Petal length\", fontsize=16, labelpad=10)\n",
    "    ax.set_ylabel(r\"Petal width\", fontsize=16, labelpad=10)\n",
    "    ax.set_zlabel(r\"$h = \\mathbf{w}^T \\mathbf{x} + b$\", fontsize=18, labelpad=5)\n",
    "    ax.legend(loc=\"upper left\", fontsize=16)\n",
    "\n",
    "fig = plt.figure(figsize=(11, 6))\n",
    "ax1 = fig.add_subplot(111, projection='3d')\n",
    "plot_3D_decision_function(ax1, w=svm_clf2.coef_[0], b=svm_clf2.intercept_[0])\n",
    "\n",
    "save_fig(\"iris_3D_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Small weight vector results in a large margin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure small_w_large_margin_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x230.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_2D_decision_function(w, b, ylabel=True, x1_lim=[-3, 3]):\n",
    "    x1 = np.linspace(x1_lim[0], x1_lim[1], 200)\n",
    "    y = w * x1 + b\n",
    "    m = 1 / w\n",
    "\n",
    "    plt.plot(x1, y)\n",
    "    plt.plot(x1_lim, [1, 1], \"k:\")\n",
    "    plt.plot(x1_lim, [-1, -1], \"k:\")\n",
    "    plt.axhline(y=0, color='k')\n",
    "    plt.axvline(x=0, color='k')\n",
    "    plt.plot([m, m], [0, 1], \"k--\")\n",
    "    plt.plot([-m, -m], [0, -1], \"k--\")\n",
    "    plt.plot([-m, m], [0, 0], \"k-o\", linewidth=3)\n",
    "    plt.axis(x1_lim + [-2, 2])\n",
    "    plt.xlabel(r\"$x_1$\", fontsize=16)\n",
    "    if ylabel:\n",
    "        plt.ylabel(r\"$w_1 x_1$  \", rotation=0, fontsize=16)\n",
    "    plt.title(r\"$w_1 = {}$\".format(w), fontsize=16)\n",
    "\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(9, 3.2), sharey=True)\n",
    "plt.sca(axes[0])\n",
    "plot_2D_decision_function(1, 0)\n",
    "plt.sca(axes[1])\n",
    "plot_2D_decision_function(0.5, 0, ylabel=False)\n",
    "save_fig(\"small_w_large_margin_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
    "y = (iris[\"target\"] == 2).astype(np.float64) # Iris virginica\n",
    "\n",
    "svm_clf = SVC(kernel=\"linear\", C=1)\n",
    "svm_clf.fit(X, y)\n",
    "svm_clf.predict([[5.3, 1.3]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hinge loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure hinge_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x201.6 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(-2, 4, 200)\n",
    "h = np.where(1 - t < 0, 0, 1 - t)  # max(0, 1-t)\n",
    "\n",
    "plt.figure(figsize=(5,2.8))\n",
    "plt.plot(t, h, \"b-\", linewidth=2, label=\"$max(0, 1 - t)$\")\n",
    "plt.grid(True, which='both')\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.axvline(x=0, color='k')\n",
    "plt.yticks(np.arange(-1, 2.5, 1))\n",
    "plt.xlabel(\"$t$\", fontsize=16)\n",
    "plt.axis([-2, 4, -1, 2.5])\n",
    "plt.legend(loc=\"upper right\", fontsize=16)\n",
    "save_fig(\"hinge_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "nav_menu": {},
  "toc": {
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 6,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
